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Finding the Fourth Proportional to 22,306.46, 33,452.31 and 7,511.70

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Solution

The fourth proportional to 22,306.46, 33,452.31 and 7,511.70 is: 11,265.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,306.46 : 33,452.31 = 7,511.70 : x
  2. Step 2: Convert to fraction form
    22,306.46/33,452.31 = 7,511.70/x
  3. Step 3: Cross multiply
    22,306.46x = 33,452.31 × 7,511.70
  4. Step 4: Simplify right side
    22,306.46x = 251,283,717.03
  5. Step 5: Solve for x
    x = 251,283,717.03/22,306.46
  6. Step 6: Final answer
    x = 11,265.07

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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.