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Finding the Fourth Proportional to 15,084.52, 20,816.32 and 8,370.09

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Solution

The fourth proportional to 15,084.52, 20,816.32 and 8,370.09 is: 11,550.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,084.52 : 20,816.32 = 8,370.09 : x
  2. Step 2: Convert to fraction form
    15,084.52/20,816.32 = 8,370.09/x
  3. Step 3: Cross multiply
    15,084.52x = 20,816.32 × 8,370.09
  4. Step 4: Simplify right side
    15,084.52x = 174,234,471.87
  5. Step 5: Solve for x
    x = 174,234,471.87/15,084.52
  6. Step 6: Final answer
    x = 11,550.55

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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.