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Finding the Fourth Proportional to 17,668.25, 26,471.23 and 9,329.91

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Solution

The fourth proportional to 17,668.25, 26,471.23 and 9,329.91 is: 13,978.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,668.25 : 26,471.23 = 9,329.91 : x
  2. Step 2: Convert to fraction form
    17,668.25/26,471.23 = 9,329.91/x
  3. Step 3: Cross multiply
    17,668.25x = 26,471.23 × 9,329.91
  4. Step 4: Simplify right side
    17,668.25x = 246,974,171.59
  5. Step 5: Solve for x
    x = 246,974,171.59/17,668.25
  6. Step 6: Final answer
    x = 13,978.42

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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.