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Finding the Fourth Proportional to 28,027.64, 38,677.56 and 15,452.42

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Solution

The fourth proportional to 28,027.64, 38,677.56 and 15,452.42 is: 21,324.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,027.64 : 38,677.56 = 15,452.42 : x
  2. Step 2: Convert to fraction form
    28,027.64/38,677.56 = 15,452.42/x
  3. Step 3: Cross multiply
    28,027.64x = 38,677.56 × 15,452.42
  4. Step 4: Simplify right side
    28,027.64x = 597,661,901.70
  5. Step 5: Solve for x
    x = 597,661,901.70/28,027.64
  6. Step 6: Final answer
    x = 21,324.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.