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Finding the Fourth Proportional to 16,486.92, 24,734.70 and 7,255.08

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Solution

The fourth proportional to 16,486.92, 24,734.70 and 7,255.08 is: 10,884.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,486.92 : 24,734.70 = 7,255.08 : x
  2. Step 2: Convert to fraction form
    16,486.92/24,734.70 = 7,255.08/x
  3. Step 3: Cross multiply
    16,486.92x = 24,734.70 × 7,255.08
  4. Step 4: Simplify right side
    16,486.92x = 179,452,227.28
  5. Step 5: Solve for x
    x = 179,452,227.28/16,486.92
  6. Step 6: Final answer
    x = 10,884.52

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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.