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Finding the Fourth Proportional to 22,716.72, 34,079.40 and 7,138.80

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Solution

The fourth proportional to 22,716.72, 34,079.40 and 7,138.80 is: 10,709.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,716.72 : 34,079.40 = 7,138.80 : x
  2. Step 2: Convert to fraction form
    22,716.72/34,079.40 = 7,138.80/x
  3. Step 3: Cross multiply
    22,716.72x = 34,079.40 × 7,138.80
  4. Step 4: Simplify right side
    22,716.72x = 243,286,020.72
  5. Step 5: Solve for x
    x = 243,286,020.72/22,716.72
  6. Step 6: Final answer
    x = 10,709.56

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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.