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Finding the Fourth Proportional to 12,449.18, 18,654.31 and 7,822.46

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Solution

The fourth proportional to 12,449.18, 18,654.31 and 7,822.46 is: 11,721.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,449.18 : 18,654.31 = 7,822.46 : x
  2. Step 2: Convert to fraction form
    12,449.18/18,654.31 = 7,822.46/x
  3. Step 3: Cross multiply
    12,449.18x = 18,654.31 × 7,822.46
  4. Step 4: Simplify right side
    12,449.18x = 145,922,620.88
  5. Step 5: Solve for x
    x = 145,922,620.88/12,449.18
  6. Step 6: Final answer
    x = 11,721.46

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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.