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Finding the Fourth Proportional to 13,475.54, 20,211.57 and 8,478.65

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Solution

The fourth proportional to 13,475.54, 20,211.57 and 8,478.65 is: 12,716.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,475.54 : 20,211.57 = 8,478.65 : x
  2. Step 2: Convert to fraction form
    13,475.54/20,211.57 = 8,478.65/x
  3. Step 3: Cross multiply
    13,475.54x = 20,211.57 × 8,478.65
  4. Step 4: Simplify right side
    13,475.54x = 171,366,726.92
  5. Step 5: Solve for x
    x = 171,366,726.92/13,475.54
  6. Step 6: Final answer
    x = 12,716.88

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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.