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Finding the Fourth Proportional to 16,589.97, 22,894.16 and 9,137.97

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Solution

The fourth proportional to 16,589.97, 22,894.16 and 9,137.97 is: 12,610.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,589.97 : 22,894.16 = 9,137.97 : x
  2. Step 2: Convert to fraction form
    16,589.97/22,894.16 = 9,137.97/x
  3. Step 3: Cross multiply
    16,589.97x = 22,894.16 × 9,137.97
  4. Step 4: Simplify right side
    16,589.97x = 209,206,147.26
  5. Step 5: Solve for x
    x = 209,206,147.26/16,589.97
  6. Step 6: Final answer
    x = 12,610.40

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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.