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Finding the Fourth Proportional to 24,230.66, 36,331.10 and 9,422.31

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Solution

The fourth proportional to 24,230.66, 36,331.10 and 9,422.31 is: 14,127.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,230.66 : 36,331.10 = 9,422.31 : x
  2. Step 2: Convert to fraction form
    24,230.66/36,331.10 = 9,422.31/x
  3. Step 3: Cross multiply
    24,230.66x = 36,331.10 × 9,422.31
  4. Step 4: Simplify right side
    24,230.66x = 342,322,910.40
  5. Step 5: Solve for x
    x = 342,322,910.40/24,230.66
  6. Step 6: Final answer
    x = 14,127.68

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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.