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Finding the Fourth Proportional to 27,107.56, 40,661.34 and 11,514.28

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Solution

The fourth proportional to 27,107.56, 40,661.34 and 11,514.28 is: 17,271.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,107.56 : 40,661.34 = 11,514.28 : x
  2. Step 2: Convert to fraction form
    27,107.56/40,661.34 = 11,514.28/x
  3. Step 3: Cross multiply
    27,107.56x = 40,661.34 × 11,514.28
  4. Step 4: Simplify right side
    27,107.56x = 468,186,053.94
  5. Step 5: Solve for x
    x = 468,186,053.94/27,107.56
  6. Step 6: Final answer
    x = 17,271.42

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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.