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Finding the Fourth Proportional to 12,282.70, 18,423.81 and 3,963.34

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Solution

The fourth proportional to 12,282.70, 18,423.81 and 3,963.34 is: 5,944.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,282.70 : 18,423.81 = 3,963.34 : x
  2. Step 2: Convert to fraction form
    12,282.70/18,423.81 = 3,963.34/x
  3. Step 3: Cross multiply
    12,282.70x = 18,423.81 × 3,963.34
  4. Step 4: Simplify right side
    12,282.70x = 73,019,823.13
  5. Step 5: Solve for x
    x = 73,019,823.13/12,282.70
  6. Step 6: Final answer
    x = 5,944.93

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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.