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Finding the Fourth Proportional to 24,731.44, 34,129.52 and 13,400.94

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Solution

The fourth proportional to 24,731.44, 34,129.52 and 13,400.94 is: 18,493.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,731.44 : 34,129.52 = 13,400.94 : x
  2. Step 2: Convert to fraction form
    24,731.44/34,129.52 = 13,400.94/x
  3. Step 3: Cross multiply
    24,731.44x = 34,129.52 × 13,400.94
  4. Step 4: Simplify right side
    24,731.44x = 457,367,582.74
  5. Step 5: Solve for x
    x = 457,367,582.74/24,731.44
  6. Step 6: Final answer
    x = 18,493.37

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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.