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Finding the Fourth Proportional to 12,274.24, 18,405.90 and 3,952.72

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Solution

The fourth proportional to 12,274.24, 18,405.90 and 3,952.72 is: 5,927.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.24 : 18,405.90 = 3,952.72 : x
  2. Step 2: Convert to fraction form
    12,274.24/18,405.90 = 3,952.72/x
  3. Step 3: Cross multiply
    12,274.24x = 18,405.90 × 3,952.72
  4. Step 4: Simplify right side
    12,274.24x = 72,753,369.05
  5. Step 5: Solve for x
    x = 72,753,369.05/12,274.24
  6. Step 6: Final answer
    x = 5,927.32

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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.