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Finding the Fourth Proportional to 12,461.62, 18,689.24 and 3,694.48

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Solution

The fourth proportional to 12,461.62, 18,689.24 and 3,694.48 is: 5,540.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,461.62 : 18,689.24 = 3,694.48 : x
  2. Step 2: Convert to fraction form
    12,461.62/18,689.24 = 3,694.48/x
  3. Step 3: Cross multiply
    12,461.62x = 18,689.24 × 3,694.48
  4. Step 4: Simplify right side
    12,461.62x = 69,047,023.40
  5. Step 5: Solve for x
    x = 69,047,023.40/12,461.62
  6. Step 6: Final answer
    x = 5,540.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.