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Finding the Fourth Proportional to 14,517.92, 20,034.48 and 8,144.48

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Solution

The fourth proportional to 14,517.92, 20,034.48 and 8,144.48 is: 11,239.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,517.92 : 20,034.48 = 8,144.48 : x
  2. Step 2: Convert to fraction form
    14,517.92/20,034.48 = 8,144.48/x
  3. Step 3: Cross multiply
    14,517.92x = 20,034.48 × 8,144.48
  4. Step 4: Simplify right side
    14,517.92x = 163,170,421.67
  5. Step 5: Solve for x
    x = 163,170,421.67/14,517.92
  6. Step 6: Final answer
    x = 11,239.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.