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Finding the Fourth Proportional to 12,023.73, 18,002.61 and 8,069.49

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Solution

The fourth proportional to 12,023.73, 18,002.61 and 8,069.49 is: 12,082.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,023.73 : 18,002.61 = 8,069.49 : x
  2. Step 2: Convert to fraction form
    12,023.73/18,002.61 = 8,069.49/x
  3. Step 3: Cross multiply
    12,023.73x = 18,002.61 × 8,069.49
  4. Step 4: Simplify right side
    12,023.73x = 145,271,881.37
  5. Step 5: Solve for x
    x = 145,271,881.37/12,023.73
  6. Step 6: Final answer
    x = 12,082.10

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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.