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Finding the Fourth Proportional to 12,002.61, 18,000.85 and 8,253.62

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Solution

The fourth proportional to 12,002.61, 18,000.85 and 8,253.62 is: 12,378.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.61 : 18,000.85 = 8,253.62 : x
  2. Step 2: Convert to fraction form
    12,002.61/18,000.85 = 8,253.62/x
  3. Step 3: Cross multiply
    12,002.61x = 18,000.85 × 8,253.62
  4. Step 4: Simplify right side
    12,002.61x = 148,572,119.83
  5. Step 5: Solve for x
    x = 148,572,119.83/12,002.61
  6. Step 6: Final answer
    x = 12,378.31

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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.