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Finding the Fourth Proportional to 20,781.36, 31,165.08 and 6,737.68

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Solution

The fourth proportional to 20,781.36, 31,165.08 and 6,737.68 is: 10,104.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,781.36 : 31,165.08 = 6,737.68 : x
  2. Step 2: Convert to fraction form
    20,781.36/31,165.08 = 6,737.68/x
  3. Step 3: Cross multiply
    20,781.36x = 31,165.08 × 6,737.68
  4. Step 4: Simplify right side
    20,781.36x = 209,980,336.21
  5. Step 5: Solve for x
    x = 209,980,336.21/20,781.36
  6. Step 6: Final answer
    x = 10,104.26

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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.