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Finding the Fourth Proportional to 26,177.80, 36,128.94 and 17,797

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Solution

The fourth proportional to 26,177.80, 36,128.94 and 17,797 is: 24,562.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,177.80 : 36,128.94 = 17,797 : x
  2. Step 2: Convert to fraction form
    26,177.80/36,128.94 = 17,797/x
  3. Step 3: Cross multiply
    26,177.80x = 36,128.94 × 17,797
  4. Step 4: Simplify right side
    26,177.80x = 642,986,745.18
  5. Step 5: Solve for x
    x = 642,986,745.18/26,177.80
  6. Step 6: Final answer
    x = 24,562.29

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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.