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Finding the Fourth Proportional to 24,735.92, 34,135.61 and 13,405.41

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Solution

The fourth proportional to 24,735.92, 34,135.61 and 13,405.41 is: 18,499.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,735.92 : 34,135.61 = 13,405.41 : x
  2. Step 2: Convert to fraction form
    24,735.92/34,135.61 = 13,405.41/x
  3. Step 3: Cross multiply
    24,735.92x = 34,135.61 × 13,405.41
  4. Step 4: Simplify right side
    24,735.92x = 457,601,780.62
  5. Step 5: Solve for x
    x = 457,601,780.62/24,735.92
  6. Step 6: Final answer
    x = 18,499.49

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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.