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Finding the Fourth Proportional to 22,814.46, 34,229.52 and 9,494.62

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Solution

The fourth proportional to 22,814.46, 34,229.52 and 9,494.62 is: 14,245.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,814.46 : 34,229.52 = 9,494.62 : x
  2. Step 2: Convert to fraction form
    22,814.46/34,229.52 = 9,494.62/x
  3. Step 3: Cross multiply
    22,814.46x = 34,229.52 × 9,494.62
  4. Step 4: Simplify right side
    22,814.46x = 324,996,199.61
  5. Step 5: Solve for x
    x = 324,996,199.61/22,814.46
  6. Step 6: Final answer
    x = 14,245.18

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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.