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Finding the Fourth Proportional to 12,113.92, 18,165.72 and 4,616.20

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Solution

The fourth proportional to 12,113.92, 18,165.72 and 4,616.20 is: 6,922.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,113.92 : 18,165.72 = 4,616.20 : x
  2. Step 2: Convert to fraction form
    12,113.92/18,165.72 = 4,616.20/x
  3. Step 3: Cross multiply
    12,113.92x = 18,165.72 × 4,616.20
  4. Step 4: Simplify right side
    12,113.92x = 83,856,596.66
  5. Step 5: Solve for x
    x = 83,856,596.66/12,113.92
  6. Step 6: Final answer
    x = 6,922.33

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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.