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Finding the Fourth Proportional to 15,023.48, 20,731.77 and 8,217.39

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Solution

The fourth proportional to 15,023.48, 20,731.77 and 8,217.39 is: 11,339.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,023.48 : 20,731.77 = 8,217.39 : x
  2. Step 2: Convert to fraction form
    15,023.48/20,731.77 = 8,217.39/x
  3. Step 3: Cross multiply
    15,023.48x = 20,731.77 × 8,217.39
  4. Step 4: Simplify right side
    15,023.48x = 170,361,039.48
  5. Step 5: Solve for x
    x = 170,361,039.48/15,023.48
  6. Step 6: Final answer
    x = 11,339.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.