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Finding the Fourth Proportional to 16,540.97, 22,826.96 and 9,469.67

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Solution

The fourth proportional to 16,540.97, 22,826.96 and 9,469.67 is: 13,068.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,540.97 : 22,826.96 = 9,469.67 : x
  2. Step 2: Convert to fraction form
    16,540.97/22,826.96 = 9,469.67/x
  3. Step 3: Cross multiply
    16,540.97x = 22,826.96 × 9,469.67
  4. Step 4: Simplify right side
    16,540.97x = 216,163,616.82
  5. Step 5: Solve for x
    x = 216,163,616.82/16,540.97
  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.