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Finding the Fourth Proportional to 12,147.61, 18,222.06 and 3,828.27

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Solution

The fourth proportional to 12,147.61, 18,222.06 and 3,828.27 is: 5,742.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147.61 : 18,222.06 = 3,828.27 : x
  2. Step 2: Convert to fraction form
    12,147.61/18,222.06 = 3,828.27/x
  3. Step 3: Cross multiply
    12,147.61x = 18,222.06 × 3,828.27
  4. Step 4: Simplify right side
    12,147.61x = 69,758,965.64
  5. Step 5: Solve for x
    x = 69,758,965.64/12,147.61
  6. Step 6: Final answer
    x = 5,742.61

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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.