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Finding the Fourth Proportional to 12,022.92, 18,035.12 and 4,627.38

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Solution

The fourth proportional to 12,022.92, 18,035.12 and 4,627.38 is: 6,941.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,022.92 : 18,035.12 = 4,627.38 : x
  2. Step 2: Convert to fraction form
    12,022.92/18,035.12 = 4,627.38/x
  3. Step 3: Cross multiply
    12,022.92x = 18,035.12 × 4,627.38
  4. Step 4: Simplify right side
    12,022.92x = 83,455,425.94
  5. Step 5: Solve for x
    x = 83,455,425.94/12,022.92
  6. Step 6: Final answer
    x = 6,941.36

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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.