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Finding the Fourth Proportional to 12,146.72, 18,222.64 and 3,829.10

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Solution

The fourth proportional to 12,146.72, 18,222.64 and 3,829.10 is: 5,744.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.72 : 18,222.64 = 3,829.10 : x
  2. Step 2: Convert to fraction form
    12,146.72/18,222.64 = 3,829.10/x
  3. Step 3: Cross multiply
    12,146.72x = 18,222.64 × 3,829.10
  4. Step 4: Simplify right side
    12,146.72x = 69,776,310.82
  5. Step 5: Solve for x
    x = 69,776,310.82/12,146.72
  6. Step 6: Final answer
    x = 5,744.46

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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.