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Finding the Fourth Proportional to 17,726.48, 26,588.10 and 5,414.48

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Solution

The fourth proportional to 17,726.48, 26,588.10 and 5,414.48 is: 8,121.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,726.48 : 26,588.10 = 5,414.48 : x
  2. Step 2: Convert to fraction form
    17,726.48/26,588.10 = 5,414.48/x
  3. Step 3: Cross multiply
    17,726.48x = 26,588.10 × 5,414.48
  4. Step 4: Simplify right side
    17,726.48x = 143,960,735.69
  5. Step 5: Solve for x
    x = 143,960,735.69/17,726.48
  6. Step 6: Final answer
    x = 8,121.23

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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.