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Finding the Fourth Proportional to 20,117.26, 27,757.77 and 12,159.93

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Solution

The fourth proportional to 20,117.26, 27,757.77 and 12,159.93 is: 16,778.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,117.26 : 27,757.77 = 12,159.93 : x
  2. Step 2: Convert to fraction form
    20,117.26/27,757.77 = 12,159.93/x
  3. Step 3: Cross multiply
    20,117.26x = 27,757.77 × 12,159.93
  4. Step 4: Simplify right side
    20,117.26x = 337,532,540.16
  5. Step 5: Solve for x
    x = 337,532,540.16/20,117.26
  6. Step 6: Final answer
    x = 16,778.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.