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Finding the Fourth Proportional to 17,266.38, 25,902.09 and 5,580.78

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Solution

The fourth proportional to 17,266.38, 25,902.09 and 5,580.78 is: 8,371.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,266.38 : 25,902.09 = 5,580.78 : x
  2. Step 2: Convert to fraction form
    17,266.38/25,902.09 = 5,580.78/x
  3. Step 3: Cross multiply
    17,266.38x = 25,902.09 × 5,580.78
  4. Step 4: Simplify right side
    17,266.38x = 144,553,865.83
  5. Step 5: Solve for x
    x = 144,553,865.83/17,266.38
  6. Step 6: Final answer
    x = 8,371.98

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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.