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Finding the Fourth Proportional to 12,049.68, 18,005.45 and 9,184.31

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Solution

The fourth proportional to 12,049.68, 18,005.45 and 9,184.31 is: 13,723.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,049.68 : 18,005.45 = 9,184.31 : x
  2. Step 2: Convert to fraction form
    12,049.68/18,005.45 = 9,184.31/x
  3. Step 3: Cross multiply
    12,049.68x = 18,005.45 × 9,184.31
  4. Step 4: Simplify right side
    12,049.68x = 165,367,544.46
  5. Step 5: Solve for x
    x = 165,367,544.46/12,049.68
  6. Step 6: Final answer
    x = 13,723.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.