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Finding the Fourth Proportional to 12,517.89, 18,776.84 and 5,120.57

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Solution

The fourth proportional to 12,517.89, 18,776.84 and 5,120.57 is: 7,680.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,517.89 : 18,776.84 = 5,120.57 : x
  2. Step 2: Convert to fraction form
    12,517.89/18,776.84 = 5,120.57/x
  3. Step 3: Cross multiply
    12,517.89x = 18,776.84 × 5,120.57
  4. Step 4: Simplify right side
    12,517.89x = 96,148,004.11
  5. Step 5: Solve for x
    x = 96,148,004.11/12,517.89
  6. Step 6: Final answer
    x = 7,680.85

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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.