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Finding the Fourth Proportional to 24,231.40, 36,337.74 and 9,438.46

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Solution

The fourth proportional to 24,231.40, 36,337.74 and 9,438.46 is: 14,154.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,231.40 : 36,337.74 = 9,438.46 : x
  2. Step 2: Convert to fraction form
    24,231.40/36,337.74 = 9,438.46/x
  3. Step 3: Cross multiply
    24,231.40x = 36,337.74 × 9,438.46
  4. Step 4: Simplify right side
    24,231.40x = 342,972,305.48
  5. Step 5: Solve for x
    x = 342,972,305.48/24,231.40
  6. Step 6: Final answer
    x = 14,154.04

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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.