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Finding the Fourth Proportional to 13,449.61, 18,561.38 and 7,481.83

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Solution

The fourth proportional to 13,449.61, 18,561.38 and 7,481.83 is: 10,325.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,449.61 : 18,561.38 = 7,481.83 : x
  2. Step 2: Convert to fraction form
    13,449.61/18,561.38 = 7,481.83/x
  3. Step 3: Cross multiply
    13,449.61x = 18,561.38 × 7,481.83
  4. Step 4: Simplify right side
    13,449.61x = 138,873,089.73
  5. Step 5: Solve for x
    x = 138,873,089.73/13,449.61
  6. Step 6: Final answer
    x = 10,325.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.