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Finding the Fourth Proportional to 12,013.77, 18,023.29 and 3,694.40

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Solution

The fourth proportional to 12,013.77, 18,023.29 and 3,694.40 is: 5,542.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,013.77 : 18,023.29 = 3,694.40 : x
  2. Step 2: Convert to fraction form
    12,013.77/18,023.29 = 3,694.40/x
  3. Step 3: Cross multiply
    12,013.77x = 18,023.29 × 3,694.40
  4. Step 4: Simplify right side
    12,013.77x = 66,585,143.22
  5. Step 5: Solve for x
    x = 66,585,143.22/12,013.77
  6. Step 6: Final answer
    x = 5,542.40

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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.