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Finding the Fourth Proportional to 16,540.92, 22,826.68 and 8,987.28

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Solution

The fourth proportional to 16,540.92, 22,826.68 and 8,987.28 is: 12,402.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,540.92 : 22,826.68 = 8,987.28 : x
  2. Step 2: Convert to fraction form
    16,540.92/22,826.68 = 8,987.28/x
  3. Step 3: Cross multiply
    16,540.92x = 22,826.68 × 8,987.28
  4. Step 4: Simplify right side
    16,540.92x = 205,149,764.63
  5. Step 5: Solve for x
    x = 205,149,764.63/16,540.92
  6. Step 6: Final answer
    x = 12,402.56

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1.5x scale

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.