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Finding the Fourth Proportional to 25,101.52, 37,629.24 and 8,674

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Solution

The fourth proportional to 25,101.52, 37,629.24 and 8,674 is: 13,003.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,101.52 : 37,629.24 = 8,674 : x
  2. Step 2: Convert to fraction form
    25,101.52/37,629.24 = 8,674/x
  3. Step 3: Cross multiply
    25,101.52x = 37,629.24 × 8,674
  4. Step 4: Simplify right side
    25,101.52x = 326,396,027.76
  5. Step 5: Solve for x
    x = 326,396,027.76/25,101.52
  6. Step 6: Final answer
    x = 13,003.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.