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Finding the Fourth Proportional to 18,589.32, 25,652.97 and 10,205.82

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Solution

The fourth proportional to 18,589.32, 25,652.97 and 10,205.82 is: 14,083.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,589.32 : 25,652.97 = 10,205.82 : x
  2. Step 2: Convert to fraction form
    18,589.32/25,652.97 = 10,205.82/x
  3. Step 3: Cross multiply
    18,589.32x = 25,652.97 × 10,205.82
  4. Step 4: Simplify right side
    18,589.32x = 261,809,594.29
  5. Step 5: Solve for x
    x = 261,809,594.29/18,589.32
  6. Step 6: Final answer
    x = 14,083.87

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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.