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Finding the Fourth Proportional to 12,471.22, 18,691.94 and 5,798.70

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Solution

The fourth proportional to 12,471.22, 18,691.94 and 5,798.70 is: 8,691.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.22 : 18,691.94 = 5,798.70 : x
  2. Step 2: Convert to fraction form
    12,471.22/18,691.94 = 5,798.70/x
  3. Step 3: Cross multiply
    12,471.22x = 18,691.94 × 5,798.70
  4. Step 4: Simplify right side
    12,471.22x = 108,388,952.48
  5. Step 5: Solve for x
    x = 108,388,952.48/12,471.22
  6. Step 6: Final answer
    x = 8,691.13

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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.