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Finding the Fourth Proportional to 13,412.97, 20,108.94 and 8,472.24

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Solution

The fourth proportional to 13,412.97, 20,108.94 and 8,472.24 is: 12,701.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.97 : 20,108.94 = 8,472.24 : x
  2. Step 2: Convert to fraction form
    13,412.97/20,108.94 = 8,472.24/x
  3. Step 3: Cross multiply
    13,412.97x = 20,108.94 × 8,472.24
  4. Step 4: Simplify right side
    13,412.97x = 170,367,765.83
  5. Step 5: Solve for x
    x = 170,367,765.83/13,412.97
  6. Step 6: Final answer
    x = 12,701.72

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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.