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Finding the Fourth Proportional to 22,758.72, 34,138.08 and 7,177.56

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Solution

The fourth proportional to 22,758.72, 34,138.08 and 7,177.56 is: 10,766.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,758.72 : 34,138.08 = 7,177.56 : x
  2. Step 2: Convert to fraction form
    22,758.72/34,138.08 = 7,177.56/x
  3. Step 3: Cross multiply
    22,758.72x = 34,138.08 × 7,177.56
  4. Step 4: Simplify right side
    22,758.72x = 245,028,117.48
  5. Step 5: Solve for x
    x = 245,028,117.48/22,758.72
  6. Step 6: Final answer
    x = 10,766.34

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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.