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Finding the Fourth Proportional to 24,414.86, 36,627.19 and 10,374.77

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Solution

The fourth proportional to 24,414.86, 36,627.19 and 10,374.77 is: 15,564.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,414.86 : 36,627.19 = 10,374.77 : x
  2. Step 2: Convert to fraction form
    24,414.86/36,627.19 = 10,374.77/x
  3. Step 3: Cross multiply
    24,414.86x = 36,627.19 × 10,374.77
  4. Step 4: Simplify right side
    24,414.86x = 379,998,737.63
  5. Step 5: Solve for x
    x = 379,998,737.63/24,414.86
  6. Step 6: Final answer
    x = 15,564.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.