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Finding the Fourth Proportional to 8,180.06, 12,270.20 and 2,024.06

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Solution

The fourth proportional to 8,180.06, 12,270.20 and 2,024.06 is: 3,036.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,180.06 : 12,270.20 = 2,024.06 : x
  2. Step 2: Convert to fraction form
    8,180.06/12,270.20 = 2,024.06/x
  3. Step 3: Cross multiply
    8,180.06x = 12,270.20 × 2,024.06
  4. Step 4: Simplify right side
    8,180.06x = 24,835,621.01
  5. Step 5: Solve for x
    x = 24,835,621.01/8,180.06
  6. Step 6: Final answer
    x = 3,036.12

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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.