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Finding the Fourth Proportional to 20,942.76, 31,414.14 and 7,101.48

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Solution

The fourth proportional to 20,942.76, 31,414.14 and 7,101.48 is: 10,652.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,942.76 : 31,414.14 = 7,101.48 : x
  2. Step 2: Convert to fraction form
    20,942.76/31,414.14 = 7,101.48/x
  3. Step 3: Cross multiply
    20,942.76x = 31,414.14 × 7,101.48
  4. Step 4: Simplify right side
    20,942.76x = 223,086,886.93
  5. Step 5: Solve for x
    x = 223,086,886.93/20,942.76
  6. Step 6: Final answer
    x = 10,652.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.