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Finding the Fourth Proportional to 24,523.20, 36,794.40 and 8,942.40

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Solution

The fourth proportional to 24,523.20, 36,794.40 and 8,942.40 is: 13,417.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,523.20 : 36,794.40 = 8,942.40 : x
  2. Step 2: Convert to fraction form
    24,523.20/36,794.40 = 8,942.40/x
  3. Step 3: Cross multiply
    24,523.20x = 36,794.40 × 8,942.40
  4. Step 4: Simplify right side
    24,523.20x = 329,030,242.56
  5. Step 5: Solve for x
    x = 329,030,242.56/24,523.20
  6. Step 6: Final answer
    x = 13,417.10

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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.