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Finding the Fourth Proportional to 11,694.78, 17,456.72 and 10,145.66

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Solution

The fourth proportional to 11,694.78, 17,456.72 and 10,145.66 is: 15,144.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,694.78 : 17,456.72 = 10,145.66 : x
  2. Step 2: Convert to fraction form
    11,694.78/17,456.72 = 10,145.66/x
  3. Step 3: Cross multiply
    11,694.78x = 17,456.72 × 10,145.66
  4. Step 4: Simplify right side
    11,694.78x = 177,109,807.82
  5. Step 5: Solve for x
    x = 177,109,807.82/11,694.78
  6. Step 6: Final answer
    x = 15,144.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.