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Finding the Fourth Proportional to 12,222.38, 18,327.36 and 5,973.02

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Solution

The fourth proportional to 12,222.38, 18,327.36 and 5,973.02 is: 8,956.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,222.38 : 18,327.36 = 5,973.02 : x
  2. Step 2: Convert to fraction form
    12,222.38/18,327.36 = 5,973.02/x
  3. Step 3: Cross multiply
    12,222.38x = 18,327.36 × 5,973.02
  4. Step 4: Simplify right side
    12,222.38x = 109,469,687.83
  5. Step 5: Solve for x
    x = 109,469,687.83/12,222.38
  6. Step 6: Final answer
    x = 8,956.50

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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.