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Finding the Fourth Proportional to 24,157.76, 36,235.49 and 7,517.39

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Solution

The fourth proportional to 24,157.76, 36,235.49 and 7,517.39 is: 11,275.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,157.76 : 36,235.49 = 7,517.39 : x
  2. Step 2: Convert to fraction form
    24,157.76/36,235.49 = 7,517.39/x
  3. Step 3: Cross multiply
    24,157.76x = 36,235.49 × 7,517.39
  4. Step 4: Simplify right side
    24,157.76x = 272,396,091.41
  5. Step 5: Solve for x
    x = 272,396,091.41/24,157.76
  6. Step 6: Final answer
    x = 11,275.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.