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Finding the Fourth Proportional to 17,472, 26,199.09 and 5,781

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Solution

The fourth proportional to 17,472, 26,199.09 and 5,781 is: 8,668.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,472 : 26,199.09 = 5,781 : x
  2. Step 2: Convert to fraction form
    17,472/26,199.09 = 5,781/x
  3. Step 3: Cross multiply
    17,472x = 26,199.09 × 5,781
  4. Step 4: Simplify right side
    17,472x = 151,456,939.29
  5. Step 5: Solve for x
    x = 151,456,939.29/17,472
  6. Step 6: Final answer
    x = 8,668.55

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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.