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Finding the Fourth Proportional to 12,185.28, 18,280.17 and 3,867.42

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Solution

The fourth proportional to 12,185.28, 18,280.17 and 3,867.42 is: 5,801.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.28 : 18,280.17 = 3,867.42 : x
  2. Step 2: Convert to fraction form
    12,185.28/18,280.17 = 3,867.42/x
  3. Step 3: Cross multiply
    12,185.28x = 18,280.17 × 3,867.42
  4. Step 4: Simplify right side
    12,185.28x = 70,697,095.06
  5. Step 5: Solve for x
    x = 70,697,095.06/12,185.28
  6. Step 6: Final answer
    x = 5,801.84

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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.