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Finding the Fourth Proportional to 12,025.62, 18,031.68 and 8,281.80

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Solution

The fourth proportional to 12,025.62, 18,031.68 and 8,281.80 is: 12,418.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,025.62 : 18,031.68 = 8,281.80 : x
  2. Step 2: Convert to fraction form
    12,025.62/18,031.68 = 8,281.80/x
  3. Step 3: Cross multiply
    12,025.62x = 18,031.68 × 8,281.80
  4. Step 4: Simplify right side
    12,025.62x = 149,334,767.42
  5. Step 5: Solve for x
    x = 149,334,767.42/12,025.62
  6. Step 6: Final answer
    x = 12,418.05

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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.