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Finding the Fourth Proportional to 10,296.67, 15,521.12 and 9,694.65

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Solution

The fourth proportional to 10,296.67, 15,521.12 and 9,694.65 is: 14,613.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.67 : 15,521.12 = 9,694.65 : x
  2. Step 2: Convert to fraction form
    10,296.67/15,521.12 = 9,694.65/x
  3. Step 3: Cross multiply
    10,296.67x = 15,521.12 × 9,694.65
  4. Step 4: Simplify right side
    10,296.67x = 150,471,788.18
  5. Step 5: Solve for x
    x = 150,471,788.18/10,296.67
  6. Step 6: Final answer
    x = 14,613.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.