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Finding the Fourth Proportional to 16,691.31, 23,034.02 and 9,617.67

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Solution

The fourth proportional to 16,691.31, 23,034.02 and 9,617.67 is: 13,272.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,691.31 : 23,034.02 = 9,617.67 : x
  2. Step 2: Convert to fraction form
    16,691.31/23,034.02 = 9,617.67/x
  3. Step 3: Cross multiply
    16,691.31x = 23,034.02 × 9,617.67
  4. Step 4: Simplify right side
    16,691.31x = 221,533,555.05
  5. Step 5: Solve for x
    x = 221,533,555.05/16,691.31
  6. Step 6: Final answer
    x = 13,272.39

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.