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Finding the Fourth Proportional to 15,112.82, 20,855.81 and 8,399.08

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Solution

The fourth proportional to 15,112.82, 20,855.81 and 8,399.08 is: 11,590.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,112.82 : 20,855.81 = 8,399.08 : x
  2. Step 2: Convert to fraction form
    15,112.82/20,855.81 = 8,399.08/x
  3. Step 3: Cross multiply
    15,112.82x = 20,855.81 × 8,399.08
  4. Step 4: Simplify right side
    15,112.82x = 175,169,470.38
  5. Step 5: Solve for x
    x = 175,169,470.38/15,112.82
  6. Step 6: Final answer
    x = 11,590.79

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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.