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Finding the Fourth Proportional to 24,811.52, 34,242.24 and 13,635.20

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Solution

The fourth proportional to 24,811.52, 34,242.24 and 13,635.20 is: 18,817.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,811.52 : 34,242.24 = 13,635.20 : x
  2. Step 2: Convert to fraction form
    24,811.52/34,242.24 = 13,635.20/x
  3. Step 3: Cross multiply
    24,811.52x = 34,242.24 × 13,635.20
  4. Step 4: Simplify right side
    24,811.52x = 466,899,790.85
  5. Step 5: Solve for x
    x = 466,899,790.85/24,811.52
  6. Step 6: Final answer
    x = 18,817.86

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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.