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Finding the Fourth Proportional to 17,229.65, 23,775.14 and 9,676.80

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Solution

The fourth proportional to 17,229.65, 23,775.14 and 9,676.80 is: 13,352.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,229.65 : 23,775.14 = 9,676.80 : x
  2. Step 2: Convert to fraction form
    17,229.65/23,775.14 = 9,676.80/x
  3. Step 3: Cross multiply
    17,229.65x = 23,775.14 × 9,676.80
  4. Step 4: Simplify right side
    17,229.65x = 230,067,226.37
  5. Step 5: Solve for x
    x = 230,067,226.37/17,229.65
  6. Step 6: Final answer
    x = 13,352.99

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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.