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Finding the Fourth Proportional to 17,624.71, 24,319.85 and 10,071.53

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Solution

The fourth proportional to 17,624.71, 24,319.85 and 10,071.53 is: 13,897.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,624.71 : 24,319.85 = 10,071.53 : x
  2. Step 2: Convert to fraction form
    17,624.71/24,319.85 = 10,071.53/x
  3. Step 3: Cross multiply
    17,624.71x = 24,319.85 × 10,071.53
  4. Step 4: Simplify right side
    17,624.71x = 244,938,098.87
  5. Step 5: Solve for x
    x = 244,938,098.87/17,624.71
  6. Step 6: Final answer
    x = 13,897.43

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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.