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Finding the Fourth Proportional to 12,801.01, 17,664.76 and 7,136.38

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Solution

The fourth proportional to 12,801.01, 17,664.76 and 7,136.38 is: 9,847.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,801.01 : 17,664.76 = 7,136.38 : x
  2. Step 2: Convert to fraction form
    12,801.01/17,664.76 = 7,136.38/x
  3. Step 3: Cross multiply
    12,801.01x = 17,664.76 × 7,136.38
  4. Step 4: Simplify right side
    12,801.01x = 126,062,439.97
  5. Step 5: Solve for x
    x = 126,062,439.97/12,801.01
  6. Step 6: Final answer
    x = 9,847.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.