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Finding the Fourth Proportional to 20,023.38, 27,630.90 and 11,070.80

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Solution

The fourth proportional to 20,023.38, 27,630.90 and 11,070.80 is: 15,276.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,023.38 : 27,630.90 = 11,070.80 : x
  2. Step 2: Convert to fraction form
    20,023.38/27,630.90 = 11,070.80/x
  3. Step 3: Cross multiply
    20,023.38x = 27,630.90 × 11,070.80
  4. Step 4: Simplify right side
    20,023.38x = 305,896,167.72
  5. Step 5: Solve for x
    x = 305,896,167.72/20,023.38
  6. Step 6: Final answer
    x = 15,276.95

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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.