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Finding the Fourth Proportional to 24,414.47, 33,691.80 and 13,804.14

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Solution

The fourth proportional to 24,414.47, 33,691.80 and 13,804.14 is: 19,049.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,414.47 : 33,691.80 = 13,804.14 : x
  2. Step 2: Convert to fraction form
    24,414.47/33,691.80 = 13,804.14/x
  3. Step 3: Cross multiply
    24,414.47x = 33,691.80 × 13,804.14
  4. Step 4: Simplify right side
    24,414.47x = 465,086,255.03
  5. Step 5: Solve for x
    x = 465,086,255.03/24,414.47
  6. Step 6: Final answer
    x = 19,049.62

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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.