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Finding the Fourth Proportional to 20,726.40, 31,044.24 and 17,198.40

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Solution

The fourth proportional to 20,726.40, 31,044.24 and 17,198.40 is: 25,759.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,726.40 : 31,044.24 = 17,198.40 : x
  2. Step 2: Convert to fraction form
    20,726.40/31,044.24 = 17,198.40/x
  3. Step 3: Cross multiply
    20,726.40x = 31,044.24 × 17,198.40
  4. Step 4: Simplify right side
    20,726.40x = 533,911,257.22
  5. Step 5: Solve for x
    x = 533,911,257.22/20,726.40
  6. Step 6: Final answer
    x = 25,759.96

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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.