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Finding the Fourth Proportional to 16,642.14, 24,979.62 and 10,081.14

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Solution

The fourth proportional to 16,642.14, 24,979.62 and 10,081.14 is: 15,131.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642.14 : 24,979.62 = 10,081.14 : x
  2. Step 2: Convert to fraction form
    16,642.14/24,979.62 = 10,081.14/x
  3. Step 3: Cross multiply
    16,642.14x = 24,979.62 × 10,081.14
  4. Step 4: Simplify right side
    16,642.14x = 251,823,046.37
  5. Step 5: Solve for x
    x = 251,823,046.37/16,642.14
  6. Step 6: Final answer
    x = 15,131.65

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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.