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Finding the Fourth Proportional to 24,294.71, 33,515.25 and 14,216.97

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Solution

The fourth proportional to 24,294.71, 33,515.25 and 14,216.97 is: 19,612.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,294.71 : 33,515.25 = 14,216.97 : x
  2. Step 2: Convert to fraction form
    24,294.71/33,515.25 = 14,216.97/x
  3. Step 3: Cross multiply
    24,294.71x = 33,515.25 × 14,216.97
  4. Step 4: Simplify right side
    24,294.71x = 476,485,250.48
  5. Step 5: Solve for x
    x = 476,485,250.48/24,294.71
  6. Step 6: Final answer
    x = 19,612.71

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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.