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Finding the Fourth Proportional to 21,511.62, 29,686.41 and 11,952.38

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Solution

The fourth proportional to 21,511.62, 29,686.41 and 11,952.38 is: 16,494.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,511.62 : 29,686.41 = 11,952.38 : x
  2. Step 2: Convert to fraction form
    21,511.62/29,686.41 = 11,952.38/x
  3. Step 3: Cross multiply
    21,511.62x = 29,686.41 × 11,952.38
  4. Step 4: Simplify right side
    21,511.62x = 354,823,253.16
  5. Step 5: Solve for x
    x = 354,823,253.16/21,511.62
  6. Step 6: Final answer
    x = 16,494.49

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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.