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Finding the Fourth Proportional to 13,731.20, 20,596.80 and 8,117.90

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Solution

The fourth proportional to 13,731.20, 20,596.80 and 8,117.90 is: 12,176.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,731.20 : 20,596.80 = 8,117.90 : x
  2. Step 2: Convert to fraction form
    13,731.20/20,596.80 = 8,117.90/x
  3. Step 3: Cross multiply
    13,731.20x = 20,596.80 × 8,117.90
  4. Step 4: Simplify right side
    13,731.20x = 167,202,762.72
  5. Step 5: Solve for x
    x = 167,202,762.72/13,731.20
  6. Step 6: Final answer
    x = 12,176.85

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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.