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Finding the Fourth Proportional to 19,569.92, 29,354.52 and 7,882.86

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Solution

The fourth proportional to 19,569.92, 29,354.52 and 7,882.86 is: 11,824.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,569.92 : 29,354.52 = 7,882.86 : x
  2. Step 2: Convert to fraction form
    19,569.92/29,354.52 = 7,882.86/x
  3. Step 3: Cross multiply
    19,569.92x = 29,354.52 × 7,882.86
  4. Step 4: Simplify right side
    19,569.92x = 231,397,571.53
  5. Step 5: Solve for x
    x = 231,397,571.53/19,569.92
  6. Step 6: Final answer
    x = 11,824.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.