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Finding the Fourth Proportional to 15,147.57, 22,722.09 and 5,788.38

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Solution

The fourth proportional to 15,147.57, 22,722.09 and 5,788.38 is: 8,682.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,147.57 : 22,722.09 = 5,788.38 : x
  2. Step 2: Convert to fraction form
    15,147.57/22,722.09 = 5,788.38/x
  3. Step 3: Cross multiply
    15,147.57x = 22,722.09 × 5,788.38
  4. Step 4: Simplify right side
    15,147.57x = 131,524,091.31
  5. Step 5: Solve for x
    x = 131,524,091.31/15,147.57
  6. Step 6: Final answer
    x = 8,682.85

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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.