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Finding the Fourth Proportional to 15,229.78, 22,844.58 and 5,743.87

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Solution

The fourth proportional to 15,229.78, 22,844.58 and 5,743.87 is: 8,615.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,229.78 : 22,844.58 = 5,743.87 : x
  2. Step 2: Convert to fraction form
    15,229.78/22,844.58 = 5,743.87/x
  3. Step 3: Cross multiply
    15,229.78x = 22,844.58 × 5,743.87
  4. Step 4: Simplify right side
    15,229.78x = 131,216,297.72
  5. Step 5: Solve for x
    x = 131,216,297.72/15,229.78
  6. Step 6: Final answer
    x = 8,615.77

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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.