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Finding the Fourth Proportional to 13,708.32, 20,546.88 and 8,517.76

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Solution

The fourth proportional to 13,708.32, 20,546.88 and 8,517.76 is: 12,766.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,708.32 : 20,546.88 = 8,517.76 : x
  2. Step 2: Convert to fraction form
    13,708.32/20,546.88 = 8,517.76/x
  3. Step 3: Cross multiply
    13,708.32x = 20,546.88 × 8,517.76
  4. Step 4: Simplify right side
    13,708.32x = 175,013,392.59
  5. Step 5: Solve for x
    x = 175,013,392.59/13,708.32
  6. Step 6: Final answer
    x = 12,766.95

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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.