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Finding the Fourth Proportional to 12,274.56, 18,411.38 and 3,954.62

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Solution

The fourth proportional to 12,274.56, 18,411.38 and 3,954.62 is: 5,931.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.56 : 18,411.38 = 3,954.62 : x
  2. Step 2: Convert to fraction form
    12,274.56/18,411.38 = 3,954.62/x
  3. Step 3: Cross multiply
    12,274.56x = 18,411.38 × 3,954.62
  4. Step 4: Simplify right side
    12,274.56x = 72,810,041.54
  5. Step 5: Solve for x
    x = 72,810,041.54/12,274.56
  6. Step 6: Final answer
    x = 5,931.78

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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.