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Finding the Fourth Proportional to 22,810.14, 34,214.96 and 7,227.76

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Solution

The fourth proportional to 22,810.14, 34,214.96 and 7,227.76 is: 10,841.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,810.14 : 34,214.96 = 7,227.76 : x
  2. Step 2: Convert to fraction form
    22,810.14/34,214.96 = 7,227.76/x
  3. Step 3: Cross multiply
    22,810.14x = 34,214.96 × 7,227.76
  4. Step 4: Simplify right side
    22,810.14x = 247,297,519.29
  5. Step 5: Solve for x
    x = 247,297,519.29/22,810.14
  6. Step 6: Final answer
    x = 10,841.56

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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.