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Finding the Fourth Proportional to 12,000.20, 18,000.12 and 5,421.78

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Solution

The fourth proportional to 12,000.20, 18,000.12 and 5,421.78 is: 8,132.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,000.20 : 18,000.12 = 5,421.78 : x
  2. Step 2: Convert to fraction form
    12,000.20/18,000.12 = 5,421.78/x
  3. Step 3: Cross multiply
    12,000.20x = 18,000.12 × 5,421.78
  4. Step 4: Simplify right side
    12,000.20x = 97,592,690.61
  5. Step 5: Solve for x
    x = 97,592,690.61/12,000.20
  6. Step 6: Final answer
    x = 8,132.59

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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.