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Finding the Fourth Proportional to 16,589.21, 22,891.82 and 9,876.33

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Solution

The fourth proportional to 16,589.21, 22,891.82 and 9,876.33 is: 13,628.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,589.21 : 22,891.82 = 9,876.33 : x
  2. Step 2: Convert to fraction form
    16,589.21/22,891.82 = 9,876.33/x
  3. Step 3: Cross multiply
    16,589.21x = 22,891.82 × 9,876.33
  4. Step 4: Simplify right side
    16,589.21x = 226,087,119.24
  5. Step 5: Solve for x
    x = 226,087,119.24/16,589.21
  6. Step 6: Final answer
    x = 13,628.57

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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.