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Finding the Fourth Proportional to 12,242.30, 18,363.45 and 8,138.30

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Solution

The fourth proportional to 12,242.30, 18,363.45 and 8,138.30 is: 12,207.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,242.30 : 18,363.45 = 8,138.30 : x
  2. Step 2: Convert to fraction form
    12,242.30/18,363.45 = 8,138.30/x
  3. Step 3: Cross multiply
    12,242.30x = 18,363.45 × 8,138.30
  4. Step 4: Simplify right side
    12,242.30x = 149,447,265.14
  5. Step 5: Solve for x
    x = 149,447,265.14/12,242.30
  6. Step 6: Final answer
    x = 12,207.45

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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.