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Finding the Fourth Proportional to 17,002.65, 25,478.87 and 8,227.11

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Solution

The fourth proportional to 17,002.65, 25,478.87 and 8,227.11 is: 12,328.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,002.65 : 25,478.87 = 8,227.11 : x
  2. Step 2: Convert to fraction form
    17,002.65/25,478.87 = 8,227.11/x
  3. Step 3: Cross multiply
    17,002.65x = 25,478.87 × 8,227.11
  4. Step 4: Simplify right side
    17,002.65x = 209,617,425.03
  5. Step 5: Solve for x
    x = 209,617,425.03/17,002.65
  6. Step 6: Final answer
    x = 12,328.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.