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Finding the Fourth Proportional to 20,139.92, 27,791.08 and 12,071.44

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Solution

The fourth proportional to 20,139.92, 27,791.08 and 12,071.44 is: 16,657.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,139.92 : 27,791.08 = 12,071.44 : x
  2. Step 2: Convert to fraction form
    20,139.92/27,791.08 = 12,071.44/x
  3. Step 3: Cross multiply
    20,139.92x = 27,791.08 × 12,071.44
  4. Step 4: Simplify right side
    20,139.92x = 335,478,354.76
  5. Step 5: Solve for x
    x = 335,478,354.76/20,139.92
  6. Step 6: Final answer
    x = 16,657.38

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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.