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Finding the Fourth Proportional to 22,881.28, 34,321.80 and 15,033.28

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Solution

The fourth proportional to 22,881.28, 34,321.80 and 15,033.28 is: 22,549.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,881.28 : 34,321.80 = 15,033.28 : x
  2. Step 2: Convert to fraction form
    22,881.28/34,321.80 = 15,033.28/x
  3. Step 3: Cross multiply
    22,881.28x = 34,321.80 × 15,033.28
  4. Step 4: Simplify right side
    22,881.28x = 515,969,229.50
  5. Step 5: Solve for x
    x = 515,969,229.50/22,881.28
  6. Step 6: Final answer
    x = 22,549.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.