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Finding the Fourth Proportional to 8,024.58, 12,034.98 and 2,181.24

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Solution

The fourth proportional to 8,024.58, 12,034.98 and 2,181.24 is: 3,271.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024.58 : 12,034.98 = 2,181.24 : x
  2. Step 2: Convert to fraction form
    8,024.58/12,034.98 = 2,181.24/x
  3. Step 3: Cross multiply
    8,024.58x = 12,034.98 × 2,181.24
  4. Step 4: Simplify right side
    8,024.58x = 26,251,179.78
  5. Step 5: Solve for x
    x = 26,251,179.78/8,024.58
  6. Step 6: Final answer
    x = 3,271.35

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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.