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Finding the Fourth Proportional to 17,251.65, 23,805.18 and 9,697.14

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Solution

The fourth proportional to 17,251.65, 23,805.18 and 9,697.14 is: 13,380.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,251.65 : 23,805.18 = 9,697.14 : x
  2. Step 2: Convert to fraction form
    17,251.65/23,805.18 = 9,697.14/x
  3. Step 3: Cross multiply
    17,251.65x = 23,805.18 × 9,697.14
  4. Step 4: Simplify right side
    17,251.65x = 230,842,163.19
  5. Step 5: Solve for x
    x = 230,842,163.19/17,251.65
  6. Step 6: Final answer
    x = 13,380.87

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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.