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Finding the Fourth Proportional to 15,999.20, 23,998.80 and 8,203.04

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Solution

The fourth proportional to 15,999.20, 23,998.80 and 8,203.04 is: 12,304.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,999.20 : 23,998.80 = 8,203.04 : x
  2. Step 2: Convert to fraction form
    15,999.20/23,998.80 = 8,203.04/x
  3. Step 3: Cross multiply
    15,999.20x = 23,998.80 × 8,203.04
  4. Step 4: Simplify right side
    15,999.20x = 196,863,116.35
  5. Step 5: Solve for x
    x = 196,863,116.35/15,999.20
  6. Step 6: Final answer
    x = 12,304.56

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Similar ratio
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1.5x scale

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.