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Finding the Fourth Proportional to 16,540.96, 22,826.96 and 9,469.66

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Solution

The fourth proportional to 16,540.96, 22,826.96 and 9,469.66 is: 13,068.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,540.96 : 22,826.96 = 9,469.66 : x
  2. Step 2: Convert to fraction form
    16,540.96/22,826.96 = 9,469.66/x
  3. Step 3: Cross multiply
    16,540.96x = 22,826.96 × 9,469.66
  4. Step 4: Simplify right side
    16,540.96x = 216,163,550.03
  5. Step 5: Solve for x
    x = 216,163,550.03/16,540.96
  6. Step 6: Final answer
    x = 13,068.38

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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.