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Finding the Fourth Proportional to 20,872.68, 31,272.54 and 17,385.09

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Solution

The fourth proportional to 20,872.68, 31,272.54 and 17,385.09 is: 26,047.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,872.68 : 31,272.54 = 17,385.09 : x
  2. Step 2: Convert to fraction form
    20,872.68/31,272.54 = 17,385.09/x
  3. Step 3: Cross multiply
    20,872.68x = 31,272.54 × 17,385.09
  4. Step 4: Simplify right side
    20,872.68x = 543,675,922.43
  5. Step 5: Solve for x
    x = 543,675,922.43/20,872.68
  6. Step 6: Final answer
    x = 26,047.25

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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.