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Finding the Fourth Proportional to 12,151.56, 18,222.24 and 3,829.36

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Solution

The fourth proportional to 12,151.56, 18,222.24 and 3,829.36 is: 5,742.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,151.56 : 18,222.24 = 3,829.36 : x
  2. Step 2: Convert to fraction form
    12,151.56/18,222.24 = 3,829.36/x
  3. Step 3: Cross multiply
    12,151.56x = 18,222.24 × 3,829.36
  4. Step 4: Simplify right side
    12,151.56x = 69,779,516.97
  5. Step 5: Solve for x
    x = 69,779,516.97/12,151.56
  6. Step 6: Final answer
    x = 5,742.43

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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.