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Finding the Fourth Proportional to 15,321.30, 22,982.04 and 5,460.96

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Solution

The fourth proportional to 15,321.30, 22,982.04 and 5,460.96 is: 8,191.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,321.30 : 22,982.04 = 5,460.96 : x
  2. Step 2: Convert to fraction form
    15,321.30/22,982.04 = 5,460.96/x
  3. Step 3: Cross multiply
    15,321.30x = 22,982.04 × 5,460.96
  4. Step 4: Simplify right side
    15,321.30x = 125,504,001.16
  5. Step 5: Solve for x
    x = 125,504,001.16/15,321.30
  6. Step 6: Final answer
    x = 8,191.47

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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.