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Finding the Fourth Proportional to 25,105.68, 37,664.80 and 17,724.56

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Solution

The fourth proportional to 25,105.68, 37,664.80 and 17,724.56 is: 26,591.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,105.68 : 37,664.80 = 17,724.56 : x
  2. Step 2: Convert to fraction form
    25,105.68/37,664.80 = 17,724.56/x
  3. Step 3: Cross multiply
    25,105.68x = 37,664.80 × 17,724.56
  4. Step 4: Simplify right side
    25,105.68x = 667,591,774.85
  5. Step 5: Solve for x
    x = 667,591,774.85/25,105.68
  6. Step 6: Final answer
    x = 26,591.26

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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.