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Finding the Fourth Proportional to 20,863.60, 28,791.78 and 11,432.16

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Solution

The fourth proportional to 20,863.60, 28,791.78 and 11,432.16 is: 15,776.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,863.60 : 28,791.78 = 11,432.16 : x
  2. Step 2: Convert to fraction form
    20,863.60/28,791.78 = 11,432.16/x
  3. Step 3: Cross multiply
    20,863.60x = 28,791.78 × 11,432.16
  4. Step 4: Simplify right side
    20,863.60x = 329,152,235.64
  5. Step 5: Solve for x
    x = 329,152,235.64/20,863.60
  6. Step 6: Final answer
    x = 15,776.39

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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.