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Finding the Fourth Proportional to 25,932.50, 38,884.82 and 8,159.83

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Solution

The fourth proportional to 25,932.50, 38,884.82 and 8,159.83 is: 12,235.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,932.50 : 38,884.82 = 8,159.83 : x
  2. Step 2: Convert to fraction form
    25,932.50/38,884.82 = 8,159.83/x
  3. Step 3: Cross multiply
    25,932.50x = 38,884.82 × 8,159.83
  4. Step 4: Simplify right side
    25,932.50x = 317,293,443.97
  5. Step 5: Solve for x
    x = 317,293,443.97/25,932.50
  6. Step 6: Final answer
    x = 12,235.36

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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.