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Finding the Fourth Proportional to 21,324.80, 31,987.52 and 8,177.92

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Solution

The fourth proportional to 21,324.80, 31,987.52 and 8,177.92 is: 12,267.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,324.80 : 31,987.52 = 8,177.92 : x
  2. Step 2: Convert to fraction form
    21,324.80/31,987.52 = 8,177.92/x
  3. Step 3: Cross multiply
    21,324.80x = 31,987.52 × 8,177.92
  4. Step 4: Simplify right side
    21,324.80x = 261,591,379.56
  5. Step 5: Solve for x
    x = 261,591,379.56/21,324.80
  6. Step 6: Final answer
    x = 12,267.00

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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.