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Finding the Fourth Proportional to 20,781.66, 31,165.11 and 6,738.27

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Solution

The fourth proportional to 20,781.66, 31,165.11 and 6,738.27 is: 10,105.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,781.66 : 31,165.11 = 6,738.27 : x
  2. Step 2: Convert to fraction form
    20,781.66/31,165.11 = 6,738.27/x
  3. Step 3: Cross multiply
    20,781.66x = 31,165.11 × 6,738.27
  4. Step 4: Simplify right side
    20,781.66x = 209,998,925.76
  5. Step 5: Solve for x
    x = 209,998,925.76/20,781.66
  6. Step 6: Final answer
    x = 10,105.01

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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.