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Finding the Fourth Proportional to 20,066.40, 30,101.34 and 6,738.78

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Solution

The fourth proportional to 20,066.40, 30,101.34 and 6,738.78 is: 10,108.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,066.40 : 30,101.34 = 6,738.78 : x
  2. Step 2: Convert to fraction form
    20,066.40/30,101.34 = 6,738.78/x
  3. Step 3: Cross multiply
    20,066.40x = 30,101.34 × 6,738.78
  4. Step 4: Simplify right side
    20,066.40x = 202,846,307.97
  5. Step 5: Solve for x
    x = 202,846,307.97/20,066.40
  6. Step 6: Final answer
    x = 10,108.75

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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.