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Finding the Fourth Proportional to 21,197.71, 29,253.99 and 11,766.48

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Solution

The fourth proportional to 21,197.71, 29,253.99 and 11,766.48 is: 16,238.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,197.71 : 29,253.99 = 11,766.48 : x
  2. Step 2: Convert to fraction form
    21,197.71/29,253.99 = 11,766.48/x
  3. Step 3: Cross multiply
    21,197.71x = 29,253.99 × 11,766.48
  4. Step 4: Simplify right side
    21,197.71x = 344,216,488.26
  5. Step 5: Solve for x
    x = 344,216,488.26/21,197.71
  6. Step 6: Final answer
    x = 16,238.38

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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.