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Finding the Fourth Proportional to 10,101.85, 15,132.11 and 8,234.39

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Solution

The fourth proportional to 10,101.85, 15,132.11 and 8,234.39 is: 12,334.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,101.85 : 15,132.11 = 8,234.39 : x
  2. Step 2: Convert to fraction form
    10,101.85/15,132.11 = 8,234.39/x
  3. Step 3: Cross multiply
    10,101.85x = 15,132.11 × 8,234.39
  4. Step 4: Simplify right side
    10,101.85x = 124,603,753.68
  5. Step 5: Solve for x
    x = 124,603,753.68/10,101.85
  6. Step 6: Final answer
    x = 12,334.75

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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.