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Finding the Fourth Proportional to 20,649.34, 30,974.14 and 5,066.96

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Solution

The fourth proportional to 20,649.34, 30,974.14 and 5,066.96 is: 7,600.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,649.34 : 30,974.14 = 5,066.96 : x
  2. Step 2: Convert to fraction form
    20,649.34/30,974.14 = 5,066.96/x
  3. Step 3: Cross multiply
    20,649.34x = 30,974.14 × 5,066.96
  4. Step 4: Simplify right side
    20,649.34x = 156,944,728.41
  5. Step 5: Solve for x
    x = 156,944,728.41/20,649.34
  6. Step 6: Final answer
    x = 7,600.47

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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.