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Finding the Fourth Proportional to 24,227.40, 36,333.90 and 9,427.80

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Solution

The fourth proportional to 24,227.40, 36,333.90 and 9,427.80 is: 14,138.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,227.40 : 36,333.90 = 9,427.80 : x
  2. Step 2: Convert to fraction form
    24,227.40/36,333.90 = 9,427.80/x
  3. Step 3: Cross multiply
    24,227.40x = 36,333.90 × 9,427.80
  4. Step 4: Simplify right side
    24,227.40x = 342,548,742.42
  5. Step 5: Solve for x
    x = 342,548,742.42/24,227.40
  6. Step 6: Final answer
    x = 14,138.90

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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.