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Finding the Fourth Proportional to 15,680.85, 23,519.44 and 5,820.31

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Solution

The fourth proportional to 15,680.85, 23,519.44 and 5,820.31 is: 8,729.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,680.85 : 23,519.44 = 5,820.31 : x
  2. Step 2: Convert to fraction form
    15,680.85/23,519.44 = 5,820.31/x
  3. Step 3: Cross multiply
    15,680.85x = 23,519.44 × 5,820.31
  4. Step 4: Simplify right side
    15,680.85x = 136,890,431.83
  5. Step 5: Solve for x
    x = 136,890,431.83/15,680.85
  6. Step 6: Final answer
    x = 8,729.78

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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.