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Finding the Fourth Proportional to 15,319.80, 22,959.26 and 8,189.42

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Solution

The fourth proportional to 15,319.80, 22,959.26 and 8,189.42 is: 12,273.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,319.80 : 22,959.26 = 8,189.42 : x
  2. Step 2: Convert to fraction form
    15,319.80/22,959.26 = 8,189.42/x
  3. Step 3: Cross multiply
    15,319.80x = 22,959.26 × 8,189.42
  4. Step 4: Simplify right side
    15,319.80x = 188,023,023.03
  5. Step 5: Solve for x
    x = 188,023,023.03/15,319.80
  6. Step 6: Final answer
    x = 12,273.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.