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Finding the Fourth Proportional to 26,083.20, 36,000 and 17,132.16

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Solution

The fourth proportional to 26,083.20, 36,000 and 17,132.16 is: 23,645.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,083.20 : 36,000 = 17,132.16 : x
  2. Step 2: Convert to fraction form
    26,083.20/36,000 = 17,132.16/x
  3. Step 3: Cross multiply
    26,083.20x = 36,000 × 17,132.16
  4. Step 4: Simplify right side
    26,083.20x = 616,757,760
  5. Step 5: Solve for x
    x = 616,757,760/26,083.20
  6. Step 6: Final answer
    x = 23,645.79

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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.