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Finding the Fourth Proportional to 24,737.88, 34,138.69 and 13,407.74

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Solution

The fourth proportional to 24,737.88, 34,138.69 and 13,407.74 is: 18,502.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,737.88 : 34,138.69 = 13,407.74 : x
  2. Step 2: Convert to fraction form
    24,737.88/34,138.69 = 13,407.74/x
  3. Step 3: Cross multiply
    24,737.88x = 34,138.69 × 13,407.74
  4. Step 4: Simplify right side
    24,737.88x = 457,722,679.46
  5. Step 5: Solve for x
    x = 457,722,679.46/24,737.88
  6. Step 6: Final answer
    x = 18,502.91

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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.