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Finding the Fourth Proportional to 15,424.38, 21,285.71 and 8,350.79

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Solution

The fourth proportional to 15,424.38, 21,285.71 and 8,350.79 is: 11,524.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,424.38 : 21,285.71 = 8,350.79 : x
  2. Step 2: Convert to fraction form
    15,424.38/21,285.71 = 8,350.79/x
  3. Step 3: Cross multiply
    15,424.38x = 21,285.71 × 8,350.79
  4. Step 4: Simplify right side
    15,424.38x = 177,752,346.03
  5. Step 5: Solve for x
    x = 177,752,346.03/15,424.38
  6. Step 6: Final answer
    x = 11,524.12

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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.