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Finding the Fourth Proportional to 25,531.20, 38,294.10 and 8,000.10

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Solution

The fourth proportional to 25,531.20, 38,294.10 and 8,000.10 is: 11,999.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,531.20 : 38,294.10 = 8,000.10 : x
  2. Step 2: Convert to fraction form
    25,531.20/38,294.10 = 8,000.10/x
  3. Step 3: Cross multiply
    25,531.20x = 38,294.10 × 8,000.10
  4. Step 4: Simplify right side
    25,531.20x = 306,356,629.41
  5. Step 5: Solve for x
    x = 306,356,629.41/25,531.20
  6. Step 6: Final answer
    x = 11,999.30

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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.