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Finding the Fourth Proportional to 24,202.38, 36,286.98 and 12,333.18

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Solution

The fourth proportional to 24,202.38, 36,286.98 and 12,333.18 is: 18,491.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,202.38 : 36,286.98 = 12,333.18 : x
  2. Step 2: Convert to fraction form
    24,202.38/36,286.98 = 12,333.18/x
  3. Step 3: Cross multiply
    24,202.38x = 36,286.98 × 12,333.18
  4. Step 4: Simplify right side
    24,202.38x = 447,533,856.00
  5. Step 5: Solve for x
    x = 447,533,856.00/24,202.38
  6. Step 6: Final answer
    x = 18,491.32

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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.