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Finding the Fourth Proportional to 22,949.46, 34,421.76 and 11,227.14

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Solution

The fourth proportional to 22,949.46, 34,421.76 and 11,227.14 is: 16,839.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,949.46 : 34,421.76 = 11,227.14 : x
  2. Step 2: Convert to fraction form
    22,949.46/34,421.76 = 11,227.14/x
  3. Step 3: Cross multiply
    22,949.46x = 34,421.76 × 11,227.14
  4. Step 4: Simplify right side
    22,949.46x = 386,457,918.57
  5. Step 5: Solve for x
    x = 386,457,918.57/22,949.46
  6. Step 6: Final answer
    x = 16,839.52

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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.