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Finding the Fourth Proportional to 16,691.57, 23,034.41 and 9,137.96

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Solution

The fourth proportional to 16,691.57, 23,034.41 and 9,137.96 is: 12,610.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,691.57 : 23,034.41 = 9,137.96 : x
  2. Step 2: Convert to fraction form
    16,691.57/23,034.41 = 9,137.96/x
  3. Step 3: Cross multiply
    16,691.57x = 23,034.41 × 9,137.96
  4. Step 4: Simplify right side
    16,691.57x = 210,487,471.51
  5. Step 5: Solve for x
    x = 210,487,471.51/16,691.57
  6. Step 6: Final answer
    x = 12,610.41

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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.