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Finding the Fourth Proportional to 16,805.38, 25,212.22 and 6,947.48

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Solution

The fourth proportional to 16,805.38, 25,212.22 and 6,947.48 is: 10,422.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,805.38 : 25,212.22 = 6,947.48 : x
  2. Step 2: Convert to fraction form
    16,805.38/25,212.22 = 6,947.48/x
  3. Step 3: Cross multiply
    16,805.38x = 25,212.22 × 6,947.48
  4. Step 4: Simplify right side
    16,805.38x = 175,161,394.21
  5. Step 5: Solve for x
    x = 175,161,394.21/16,805.38
  6. Step 6: Final answer
    x = 10,422.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.