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Finding the Fourth Proportional to 12,189.84, 18,278.22 and 3,867.60

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Solution

The fourth proportional to 12,189.84, 18,278.22 and 3,867.60 is: 5,799.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189.84 : 18,278.22 = 3,867.60 : x
  2. Step 2: Convert to fraction form
    12,189.84/18,278.22 = 3,867.60/x
  3. Step 3: Cross multiply
    12,189.84x = 18,278.22 × 3,867.60
  4. Step 4: Simplify right side
    12,189.84x = 70,692,843.67
  5. Step 5: Solve for x
    x = 70,692,843.67/12,189.84
  6. Step 6: Final answer
    x = 5,799.32

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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.