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Finding the Fourth Proportional to 24,230.25, 36,331.20 and 9,238.23

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Solution

The fourth proportional to 24,230.25, 36,331.20 and 9,238.23 is: 13,851.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,230.25 : 36,331.20 = 9,238.23 : x
  2. Step 2: Convert to fraction form
    24,230.25/36,331.20 = 9,238.23/x
  3. Step 3: Cross multiply
    24,230.25x = 36,331.20 × 9,238.23
  4. Step 4: Simplify right side
    24,230.25x = 335,635,981.78
  5. Step 5: Solve for x
    x = 335,635,981.78/24,230.25
  6. Step 6: Final answer
    x = 13,851.94

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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.