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Finding the Fourth Proportional to 12,282.74, 18,427.02 and 3,963.50

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Solution

The fourth proportional to 12,282.74, 18,427.02 and 3,963.50 is: 5,946.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,282.74 : 18,427.02 = 3,963.50 : x
  2. Step 2: Convert to fraction form
    12,282.74/18,427.02 = 3,963.50/x
  3. Step 3: Cross multiply
    12,282.74x = 18,427.02 × 3,963.50
  4. Step 4: Simplify right side
    12,282.74x = 73,035,493.77
  5. Step 5: Solve for x
    x = 73,035,493.77/12,282.74
  6. Step 6: Final answer
    x = 5,946.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.