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Finding the Fourth Proportional to 16,102.50, 22,217.24 and 9,294.86

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Solution

The fourth proportional to 16,102.50, 22,217.24 and 9,294.86 is: 12,824.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.50 : 22,217.24 = 9,294.86 : x
  2. Step 2: Convert to fraction form
    16,102.50/22,217.24 = 9,294.86/x
  3. Step 3: Cross multiply
    16,102.50x = 22,217.24 × 9,294.86
  4. Step 4: Simplify right side
    16,102.50x = 206,506,001.06
  5. Step 5: Solve for x
    x = 206,506,001.06/16,102.50
  6. Step 6: Final answer
    x = 12,824.47

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