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Finding the Fourth Proportional to 22,758.93, 34,138.05 and 13,876.88

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Solution

The fourth proportional to 22,758.93, 34,138.05 and 13,876.88 is: 20,815.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,758.93 : 34,138.05 = 13,876.88 : x
  2. Step 2: Convert to fraction form
    22,758.93/34,138.05 = 13,876.88/x
  3. Step 3: Cross multiply
    22,758.93x = 34,138.05 × 13,876.88
  4. Step 4: Simplify right side
    22,758.93x = 473,729,452.59
  5. Step 5: Solve for x
    x = 473,729,452.59/22,758.93
  6. Step 6: Final answer
    x = 20,815.10

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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.