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Finding the Fourth Proportional to 17,685.38, 26,532.28 and 5,205.82

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Solution

The fourth proportional to 17,685.38, 26,532.28 and 5,205.82 is: 7,809.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,685.38 : 26,532.28 = 5,205.82 : x
  2. Step 2: Convert to fraction form
    17,685.38/26,532.28 = 5,205.82/x
  3. Step 3: Cross multiply
    17,685.38x = 26,532.28 × 5,205.82
  4. Step 4: Simplify right side
    17,685.38x = 138,122,273.87
  5. Step 5: Solve for x
    x = 138,122,273.87/17,685.38
  6. Step 6: Final answer
    x = 7,809.97

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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.