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Finding the Fourth Proportional to 17,581.32, 26,371.92 and 7,193.07

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Solution

The fourth proportional to 17,581.32, 26,371.92 and 7,193.07 is: 10,789.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,581.32 : 26,371.92 = 7,193.07 : x
  2. Step 2: Convert to fraction form
    17,581.32/26,371.92 = 7,193.07/x
  3. Step 3: Cross multiply
    17,581.32x = 26,371.92 × 7,193.07
  4. Step 4: Simplify right side
    17,581.32x = 189,695,066.59
  5. Step 5: Solve for x
    x = 189,695,066.59/17,581.32
  6. Step 6: Final answer
    x = 10,789.58

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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.