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Finding the Fourth Proportional to 20,508.30, 28,420.38 and 20,114.64

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Solution

The fourth proportional to 20,508.30, 28,420.38 and 20,114.64 is: 27,874.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,508.30 : 28,420.38 = 20,114.64 : x
  2. Step 2: Convert to fraction form
    20,508.30/28,420.38 = 20,114.64/x
  3. Step 3: Cross multiply
    20,508.30x = 28,420.38 × 20,114.64
  4. Step 4: Simplify right side
    20,508.30x = 571,665,712.36
  5. Step 5: Solve for x
    x = 571,665,712.36/20,508.30
  6. Step 6: Final answer
    x = 27,874.85

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.