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Finding the Fourth Proportional to 8,242.17, 12,363.15 and 2,002.24

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Solution

The fourth proportional to 8,242.17, 12,363.15 and 2,002.24 is: 3,003.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.17 : 12,363.15 = 2,002.24 : x
  2. Step 2: Convert to fraction form
    8,242.17/12,363.15 = 2,002.24/x
  3. Step 3: Cross multiply
    8,242.17x = 12,363.15 × 2,002.24
  4. Step 4: Simplify right side
    8,242.17x = 24,753,993.46
  5. Step 5: Solve for x
    x = 24,753,993.46/8,242.17
  6. Step 6: Final answer
    x = 3,003.33

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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.