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Finding the Fourth Proportional to 12,283.65, 18,429.09 and 3,963.51

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Solution

The fourth proportional to 12,283.65, 18,429.09 and 3,963.51 is: 5,946.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.65 : 18,429.09 = 3,963.51 : x
  2. Step 2: Convert to fraction form
    12,283.65/18,429.09 = 3,963.51/x
  3. Step 3: Cross multiply
    12,283.65x = 18,429.09 × 3,963.51
  4. Step 4: Simplify right side
    12,283.65x = 73,043,882.51
  5. Step 5: Solve for x
    x = 73,043,882.51/12,283.65
  6. Step 6: Final answer
    x = 5,946.43

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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.