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Finding the Fourth Proportional to 12,314.68, 18,470.28 and 3,994.77

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Solution

The fourth proportional to 12,314.68, 18,470.28 and 3,994.77 is: 5,991.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.68 : 18,470.28 = 3,994.77 : x
  2. Step 2: Convert to fraction form
    12,314.68/18,470.28 = 3,994.77/x
  3. Step 3: Cross multiply
    12,314.68x = 18,470.28 × 3,994.77
  4. Step 4: Simplify right side
    12,314.68x = 73,784,438.07
  5. Step 5: Solve for x
    x = 73,784,438.07/12,314.68
  6. Step 6: Final answer
    x = 5,991.59

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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.