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Finding the Fourth Proportional to 24,287.31, 33,516.72 and 14,221.71

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Solution

The fourth proportional to 24,287.31, 33,516.72 and 14,221.71 is: 19,626.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,287.31 : 33,516.72 = 14,221.71 : x
  2. Step 2: Convert to fraction form
    24,287.31/33,516.72 = 14,221.71/x
  3. Step 3: Cross multiply
    24,287.31x = 33,516.72 × 14,221.71
  4. Step 4: Simplify right side
    24,287.31x = 476,665,071.99
  5. Step 5: Solve for x
    x = 476,665,071.99/24,287.31
  6. Step 6: Final answer
    x = 19,626.10

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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.