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Finding the Fourth Proportional to 11,959.73, 17,882.63 and 10,914.06

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Solution

The fourth proportional to 11,959.73, 17,882.63 and 10,914.06 is: 16,319.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,959.73 : 17,882.63 = 10,914.06 : x
  2. Step 2: Convert to fraction form
    11,959.73/17,882.63 = 10,914.06/x
  3. Step 3: Cross multiply
    11,959.73x = 17,882.63 × 10,914.06
  4. Step 4: Simplify right side
    11,959.73x = 195,172,042.21
  5. Step 5: Solve for x
    x = 195,172,042.21/11,959.73
  6. Step 6: Final answer
    x = 16,319.10

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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.