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Finding the Fourth Proportional to 20,143.31, 27,801.09 and 16,780.80

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Solution

The fourth proportional to 20,143.31, 27,801.09 and 16,780.80 is: 23,160.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,143.31 : 27,801.09 = 16,780.80 : x
  2. Step 2: Convert to fraction form
    20,143.31/27,801.09 = 16,780.80/x
  3. Step 3: Cross multiply
    20,143.31x = 27,801.09 × 16,780.80
  4. Step 4: Simplify right side
    20,143.31x = 466,524,531.07
  5. Step 5: Solve for x
    x = 466,524,531.07/20,143.31
  6. Step 6: Final answer
    x = 23,160.28

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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.