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Finding the Fourth Proportional to 12,274.70, 18,411.84 and 3,040.70

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Solution

The fourth proportional to 12,274.70, 18,411.84 and 3,040.70 is: 4,560.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.70 : 18,411.84 = 3,040.70 : x
  2. Step 2: Convert to fraction form
    12,274.70/18,411.84 = 3,040.70/x
  3. Step 3: Cross multiply
    12,274.70x = 18,411.84 × 3,040.70
  4. Step 4: Simplify right side
    12,274.70x = 55,984,789.83
  5. Step 5: Solve for x
    x = 55,984,789.83/12,274.70
  6. Step 6: Final answer
    x = 4,560.99

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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.