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Finding the Fourth Proportional to 17,972.10, 24,800.31 and 9,905.13

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Solution

The fourth proportional to 17,972.10, 24,800.31 and 9,905.13 is: 13,668.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,972.10 : 24,800.31 = 9,905.13 : x
  2. Step 2: Convert to fraction form
    17,972.10/24,800.31 = 9,905.13/x
  3. Step 3: Cross multiply
    17,972.10x = 24,800.31 × 9,905.13
  4. Step 4: Simplify right side
    17,972.10x = 245,650,294.59
  5. Step 5: Solve for x
    x = 245,650,294.59/17,972.10
  6. Step 6: Final answer
    x = 13,668.42

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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.