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Finding the Fourth Proportional to 19,569.30, 29,331.18 and 9,714.84

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Solution

The fourth proportional to 19,569.30, 29,331.18 and 9,714.84 is: 14,560.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,569.30 : 29,331.18 = 9,714.84 : x
  2. Step 2: Convert to fraction form
    19,569.30/29,331.18 = 9,714.84/x
  3. Step 3: Cross multiply
    19,569.30x = 29,331.18 × 9,714.84
  4. Step 4: Simplify right side
    19,569.30x = 284,947,720.71
  5. Step 5: Solve for x
    x = 284,947,720.71/19,569.30
  6. Step 6: Final answer
    x = 14,560.96

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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.