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Finding the Fourth Proportional to 12,226.08, 18,324 and 6,965.49

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Solution

The fourth proportional to 12,226.08, 18,324 and 6,965.49 is: 10,439.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,226.08 : 18,324 = 6,965.49 : x
  2. Step 2: Convert to fraction form
    12,226.08/18,324 = 6,965.49/x
  3. Step 3: Cross multiply
    12,226.08x = 18,324 × 6,965.49
  4. Step 4: Simplify right side
    12,226.08x = 127,635,638.76
  5. Step 5: Solve for x
    x = 127,635,638.76/12,226.08
  6. Step 6: Final answer
    x = 10,439.62

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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.