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Finding the Fourth Proportional to 20,182.32, 27,843.48 and 12,726

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Solution

The fourth proportional to 20,182.32, 27,843.48 and 12,726 is: 17,556.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,182.32 : 27,843.48 = 12,726 : x
  2. Step 2: Convert to fraction form
    20,182.32/27,843.48 = 12,726/x
  3. Step 3: Cross multiply
    20,182.32x = 27,843.48 × 12,726
  4. Step 4: Simplify right side
    20,182.32x = 354,336,126.48
  5. Step 5: Solve for x
    x = 354,336,126.48/20,182.32
  6. Step 6: Final answer
    x = 17,556.76

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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.