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Finding the Fourth Proportional to 12,469.32, 18,582.44 and 12,109.48

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Solution

The fourth proportional to 12,469.32, 18,582.44 and 12,109.48 is: 18,046.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,469.32 : 18,582.44 = 12,109.48 : x
  2. Step 2: Convert to fraction form
    12,469.32/18,582.44 = 12,109.48/x
  3. Step 3: Cross multiply
    12,469.32x = 18,582.44 × 12,109.48
  4. Step 4: Simplify right side
    12,469.32x = 225,023,685.53
  5. Step 5: Solve for x
    x = 225,023,685.53/12,469.32
  6. Step 6: Final answer
    x = 18,046.19

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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.