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Finding the Fourth Proportional to 22,811.36, 34,217.76 and 7,229.12

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Solution

The fourth proportional to 22,811.36, 34,217.76 and 7,229.12 is: 10,843.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,811.36 : 34,217.76 = 7,229.12 : x
  2. Step 2: Convert to fraction form
    22,811.36/34,217.76 = 7,229.12/x
  3. Step 3: Cross multiply
    22,811.36x = 34,217.76 × 7,229.12
  4. Step 4: Simplify right side
    22,811.36x = 247,364,293.17
  5. Step 5: Solve for x
    x = 247,364,293.17/22,811.36
  6. Step 6: Final answer
    x = 10,843.91

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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.