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Finding the Fourth Proportional to 25,105.52, 37,635.24 and 8,678

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Solution

The fourth proportional to 25,105.52, 37,635.24 and 8,678 is: 13,009.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,105.52 : 37,635.24 = 8,678 : x
  2. Step 2: Convert to fraction form
    25,105.52/37,635.24 = 8,678/x
  3. Step 3: Cross multiply
    25,105.52x = 37,635.24 × 8,678
  4. Step 4: Simplify right side
    25,105.52x = 326,598,612.72
  5. Step 5: Solve for x
    x = 326,598,612.72/25,105.52
  6. Step 6: Final answer
    x = 13,009.04

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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.