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Finding the Fourth Proportional to 24,471.78, 36,706.18 and 8,677.59

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Solution

The fourth proportional to 24,471.78, 36,706.18 and 8,677.59 is: 13,015.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,471.78 : 36,706.18 = 8,677.59 : x
  2. Step 2: Convert to fraction form
    24,471.78/36,706.18 = 8,677.59/x
  3. Step 3: Cross multiply
    24,471.78x = 36,706.18 × 8,677.59
  4. Step 4: Simplify right side
    24,471.78x = 318,520,975.28
  5. Step 5: Solve for x
    x = 318,520,975.28/24,471.78
  6. Step 6: Final answer
    x = 13,015.85

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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.