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Finding the Fourth Proportional to 22,811.14, 34,217.64 and 7,828.56

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Solution

The fourth proportional to 22,811.14, 34,217.64 and 7,828.56 is: 11,743.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,811.14 : 34,217.64 = 7,828.56 : x
  2. Step 2: Convert to fraction form
    22,811.14/34,217.64 = 7,828.56/x
  3. Step 3: Cross multiply
    22,811.14x = 34,217.64 × 7,828.56
  4. Step 4: Simplify right side
    22,811.14x = 267,874,847.80
  5. Step 5: Solve for x
    x = 267,874,847.80/22,811.14
  6. Step 6: Final answer
    x = 11,743.16

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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.