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Finding the Fourth Proportional to 8,023.78, 12,035.70 and 2,180.20

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Solution

The fourth proportional to 8,023.78, 12,035.70 and 2,180.20 is: 3,270.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,023.78 : 12,035.70 = 2,180.20 : x
  2. Step 2: Convert to fraction form
    8,023.78/12,035.70 = 2,180.20/x
  3. Step 3: Cross multiply
    8,023.78x = 12,035.70 × 2,180.20
  4. Step 4: Simplify right side
    8,023.78x = 26,240,233.14
  5. Step 5: Solve for x
    x = 26,240,233.14/8,023.78
  6. Step 6: Final answer
    x = 3,270.31

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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.