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Finding the Fourth Proportional to 12,144.64, 18,219.52 and 3,936

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Solution

The fourth proportional to 12,144.64, 18,219.52 and 3,936 is: 5,904.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,144.64 : 18,219.52 = 3,936 : x
  2. Step 2: Convert to fraction form
    12,144.64/18,219.52 = 3,936/x
  3. Step 3: Cross multiply
    12,144.64x = 18,219.52 × 3,936
  4. Step 4: Simplify right side
    12,144.64x = 71,712,030.72
  5. Step 5: Solve for x
    x = 71,712,030.72/12,144.64
  6. Step 6: Final answer
    x = 5,904.83

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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.