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Finding the Fourth Proportional to 12,446.97, 18,669.02 and 3,213.69

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Solution

The fourth proportional to 12,446.97, 18,669.02 and 3,213.69 is: 4,820.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.97 : 18,669.02 = 3,213.69 : x
  2. Step 2: Convert to fraction form
    12,446.97/18,669.02 = 3,213.69/x
  3. Step 3: Cross multiply
    12,446.97x = 18,669.02 × 3,213.69
  4. Step 4: Simplify right side
    12,446.97x = 59,996,426.82
  5. Step 5: Solve for x
    x = 59,996,426.82/12,446.97
  6. Step 6: Final answer
    x = 4,820.16

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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.