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Finding the Fourth Proportional to 12,151.57, 18,222.22 and 3,829.36

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Solution

The fourth proportional to 12,151.57, 18,222.22 and 3,829.36 is: 5,742.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,151.57 : 18,222.22 = 3,829.36 : x
  2. Step 2: Convert to fraction form
    12,151.57/18,222.22 = 3,829.36/x
  3. Step 3: Cross multiply
    12,151.57x = 18,222.22 × 3,829.36
  4. Step 4: Simplify right side
    12,151.57x = 69,779,440.38
  5. Step 5: Solve for x
    x = 69,779,440.38/12,151.57
  6. Step 6: Final answer
    x = 5,742.42

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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.