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Finding the Fourth Proportional to 21,414.38, 29,564.80 and 13,975.34

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Solution

The fourth proportional to 21,414.38, 29,564.80 and 13,975.34 is: 19,294.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,414.38 : 29,564.80 = 13,975.34 : x
  2. Step 2: Convert to fraction form
    21,414.38/29,564.80 = 13,975.34/x
  3. Step 3: Cross multiply
    21,414.38x = 29,564.80 × 13,975.34
  4. Step 4: Simplify right side
    21,414.38x = 413,177,949.27
  5. Step 5: Solve for x
    x = 413,177,949.27/21,414.38
  6. Step 6: Final answer
    x = 19,294.42

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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.