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Finding the Fourth Proportional to 11,678.38, 17,514.95 and 3,356.54

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Solution

The fourth proportional to 11,678.38, 17,514.95 and 3,356.54 is: 5,034.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678.38 : 17,514.95 = 3,356.54 : x
  2. Step 2: Convert to fraction form
    11,678.38/17,514.95 = 3,356.54/x
  3. Step 3: Cross multiply
    11,678.38x = 17,514.95 × 3,356.54
  4. Step 4: Simplify right side
    11,678.38x = 58,789,657.28
  5. Step 5: Solve for x
    x = 58,789,657.28/11,678.38
  6. Step 6: Final answer
    x = 5,034.06

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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.