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Finding the Fourth Proportional to 17,678.82, 26,514.50 and 5,195.46

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Solution

The fourth proportional to 17,678.82, 26,514.50 and 5,195.46 is: 7,792.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,678.82 : 26,514.50 = 5,195.46 : x
  2. Step 2: Convert to fraction form
    17,678.82/26,514.50 = 5,195.46/x
  3. Step 3: Cross multiply
    17,678.82x = 26,514.50 × 5,195.46
  4. Step 4: Simplify right side
    17,678.82x = 137,754,918.25
  5. Step 5: Solve for x
    x = 137,754,918.25/17,678.82
  6. Step 6: Final answer
    x = 7,792.09

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