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Finding the Fourth Proportional to 13,440.17, 20,157.54 and 8,440.31

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Solution

The fourth proportional to 13,440.17, 20,157.54 and 8,440.31 is: 12,658.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,440.17 : 20,157.54 = 8,440.31 : x
  2. Step 2: Convert to fraction form
    13,440.17/20,157.54 = 8,440.31/x
  3. Step 3: Cross multiply
    13,440.17x = 20,157.54 × 8,440.31
  4. Step 4: Simplify right side
    13,440.17x = 170,135,785.65
  5. Step 5: Solve for x
    x = 170,135,785.65/13,440.17
  6. Step 6: Final answer
    x = 12,658.76

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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.