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Finding the Fourth Proportional to 25,586.67, 38,363.61 and 17,667

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Solution

The fourth proportional to 25,586.67, 38,363.61 and 17,667 is: 26,489.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,586.67 : 38,363.61 = 17,667 : x
  2. Step 2: Convert to fraction form
    25,586.67/38,363.61 = 17,667/x
  3. Step 3: Cross multiply
    25,586.67x = 38,363.61 × 17,667
  4. Step 4: Simplify right side
    25,586.67x = 677,769,897.87
  5. Step 5: Solve for x
    x = 677,769,897.87/25,586.67
  6. Step 6: Final answer
    x = 26,489.18

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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.