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Finding the Fourth Proportional to 18,591.84, 25,661.22 and 11,514

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Solution

The fourth proportional to 18,591.84, 25,661.22 and 11,514 is: 15,892.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,591.84 : 25,661.22 = 11,514 : x
  2. Step 2: Convert to fraction form
    18,591.84/25,661.22 = 11,514/x
  3. Step 3: Cross multiply
    18,591.84x = 25,661.22 × 11,514
  4. Step 4: Simplify right side
    18,591.84x = 295,463,287.08
  5. Step 5: Solve for x
    x = 295,463,287.08/18,591.84
  6. Step 6: Final answer
    x = 15,892.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.