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Finding the Fourth Proportional to 24,232.30, 36,321.45 and 9,436.30

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Solution

The fourth proportional to 24,232.30, 36,321.45 and 9,436.30 is: 14,143.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,232.30 : 36,321.45 = 9,436.30 : x
  2. Step 2: Convert to fraction form
    24,232.30/36,321.45 = 9,436.30/x
  3. Step 3: Cross multiply
    24,232.30x = 36,321.45 × 9,436.30
  4. Step 4: Simplify right side
    24,232.30x = 342,740,098.64
  5. Step 5: Solve for x
    x = 342,740,098.64/24,232.30
  6. Step 6: Final answer
    x = 14,143.94

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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.