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Finding the Fourth Proportional to 25,536.31, 38,310.60 and 8,006.14

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Solution

The fourth proportional to 25,536.31, 38,310.60 and 8,006.14 is: 12,011.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,536.31 : 38,310.60 = 8,006.14 : x
  2. Step 2: Convert to fraction form
    25,536.31/38,310.60 = 8,006.14/x
  3. Step 3: Cross multiply
    25,536.31x = 38,310.60 × 8,006.14
  4. Step 4: Simplify right side
    25,536.31x = 306,720,105.00
  5. Step 5: Solve for x
    x = 306,720,105.00/25,536.31
  6. Step 6: Final answer
    x = 12,011.14

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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.