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Finding the Fourth Proportional to 24,913.31, 34,380.38 and 13,735.31

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Solution

The fourth proportional to 24,913.31, 34,380.38 and 13,735.31 is: 18,954.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,913.31 : 34,380.38 = 13,735.31 : x
  2. Step 2: Convert to fraction form
    24,913.31/34,380.38 = 13,735.31/x
  3. Step 3: Cross multiply
    24,913.31x = 34,380.38 × 13,735.31
  4. Step 4: Simplify right side
    24,913.31x = 472,225,194.49
  5. Step 5: Solve for x
    x = 472,225,194.49/24,913.31
  6. Step 6: Final answer
    x = 18,954.73

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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.