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Finding the Fourth Proportional to 24,458.47, 33,753.49 and 13,847.87

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Solution

The fourth proportional to 24,458.47, 33,753.49 and 13,847.87 is: 19,110.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,458.47 : 33,753.49 = 13,847.87 : x
  2. Step 2: Convert to fraction form
    24,458.47/33,753.49 = 13,847.87/x
  3. Step 3: Cross multiply
    24,458.47x = 33,753.49 × 13,847.87
  4. Step 4: Simplify right side
    24,458.47x = 467,413,991.33
  5. Step 5: Solve for x
    x = 467,413,991.33/24,458.47
  6. Step 6: Final answer
    x = 19,110.52

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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.