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Finding the Fourth Proportional to 17,382.87, 23,982.08 and 11,417.76

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Solution

The fourth proportional to 17,382.87, 23,982.08 and 11,417.76 is: 15,752.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,382.87 : 23,982.08 = 11,417.76 : x
  2. Step 2: Convert to fraction form
    17,382.87/23,982.08 = 11,417.76/x
  3. Step 3: Cross multiply
    17,382.87x = 23,982.08 × 11,417.76
  4. Step 4: Simplify right side
    17,382.87x = 273,821,576.65
  5. Step 5: Solve for x
    x = 273,821,576.65/17,382.87
  6. Step 6: Final answer
    x = 15,752.38

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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.