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Finding the Fourth Proportional to 20,590.38, 28,414.80 and 11,158.92

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Solution

The fourth proportional to 20,590.38, 28,414.80 and 11,158.92 is: 15,399.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,590.38 : 28,414.80 = 11,158.92 : x
  2. Step 2: Convert to fraction form
    20,590.38/28,414.80 = 11,158.92/x
  3. Step 3: Cross multiply
    20,590.38x = 28,414.80 × 11,158.92
  4. Step 4: Simplify right side
    20,590.38x = 317,078,480.02
  5. Step 5: Solve for x
    x = 317,078,480.02/20,590.38
  6. Step 6: Final answer
    x = 15,399.35

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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.