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Finding the Fourth Proportional to 17,244.29, 25,864.49 and 4,766.09

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Solution

The fourth proportional to 17,244.29, 25,864.49 and 4,766.09 is: 7,148.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,244.29 : 25,864.49 = 4,766.09 : x
  2. Step 2: Convert to fraction form
    17,244.29/25,864.49 = 4,766.09/x
  3. Step 3: Cross multiply
    17,244.29x = 25,864.49 × 4,766.09
  4. Step 4: Simplify right side
    17,244.29x = 123,272,487.14
  5. Step 5: Solve for x
    x = 123,272,487.14/17,244.29
  6. Step 6: Final answer
    x = 7,148.60

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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.