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Finding the Fourth Proportional to 21,331, 29,436.78 and 11,899.56

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Solution

The fourth proportional to 21,331, 29,436.78 and 11,899.56 is: 16,421.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,331 : 29,436.78 = 11,899.56 : x
  2. Step 2: Convert to fraction form
    21,331/29,436.78 = 11,899.56/x
  3. Step 3: Cross multiply
    21,331x = 29,436.78 × 11,899.56
  4. Step 4: Simplify right side
    21,331x = 350,284,729.82
  5. Step 5: Solve for x
    x = 350,284,729.82/21,331
  6. Step 6: Final answer
    x = 16,421.39

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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.