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Finding the Fourth Proportional to 12,412.92, 18,618.24 and 4,092.84

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Solution

The fourth proportional to 12,412.92, 18,618.24 and 4,092.84 is: 6,138.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,412.92 : 18,618.24 = 4,092.84 : x
  2. Step 2: Convert to fraction form
    12,412.92/18,618.24 = 4,092.84/x
  3. Step 3: Cross multiply
    12,412.92x = 18,618.24 × 4,092.84
  4. Step 4: Simplify right side
    12,412.92x = 76,201,477.40
  5. Step 5: Solve for x
    x = 76,201,477.40/12,412.92
  6. Step 6: Final answer
    x = 6,138.88

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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.