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Finding the Fourth Proportional to 12,661.32, 18,994.48 and 4,228.44

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Solution

The fourth proportional to 12,661.32, 18,994.48 and 4,228.44 is: 6,343.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,661.32 : 18,994.48 = 4,228.44 : x
  2. Step 2: Convert to fraction form
    12,661.32/18,994.48 = 4,228.44/x
  3. Step 3: Cross multiply
    12,661.32x = 18,994.48 × 4,228.44
  4. Step 4: Simplify right side
    12,661.32x = 80,317,019.01
  5. Step 5: Solve for x
    x = 80,317,019.01/12,661.32
  6. Step 6: Final answer
    x = 6,343.49

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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.