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Finding the Fourth Proportional to 16,805, 23,190.90 and 9,354.76

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Solution

The fourth proportional to 16,805, 23,190.90 and 9,354.76 is: 12,909.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,805 : 23,190.90 = 9,354.76 : x
  2. Step 2: Convert to fraction form
    16,805/23,190.90 = 9,354.76/x
  3. Step 3: Cross multiply
    16,805x = 23,190.90 × 9,354.76
  4. Step 4: Simplify right side
    16,805x = 216,945,303.68
  5. Step 5: Solve for x
    x = 216,945,303.68/16,805
  6. Step 6: Final answer
    x = 12,909.57

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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.