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Finding the Fourth Proportional to 12,162.72, 18,246.64 and 3,845.12

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Solution

The fourth proportional to 12,162.72, 18,246.64 and 3,845.12 is: 5,768.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,162.72 : 18,246.64 = 3,845.12 : x
  2. Step 2: Convert to fraction form
    12,162.72/18,246.64 = 3,845.12/x
  3. Step 3: Cross multiply
    12,162.72x = 18,246.64 × 3,845.12
  4. Step 4: Simplify right side
    12,162.72x = 70,160,520.40
  5. Step 5: Solve for x
    x = 70,160,520.40/12,162.72
  6. Step 6: Final answer
    x = 5,768.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.