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Finding the Fourth Proportional to 21,265.97, 29,347.05 and 11,834.33

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Solution

The fourth proportional to 21,265.97, 29,347.05 and 11,834.33 is: 16,331.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,265.97 : 29,347.05 = 11,834.33 : x
  2. Step 2: Convert to fraction form
    21,265.97/29,347.05 = 11,834.33/x
  3. Step 3: Cross multiply
    21,265.97x = 29,347.05 × 11,834.33
  4. Step 4: Simplify right side
    21,265.97x = 347,302,527.49
  5. Step 5: Solve for x
    x = 347,302,527.49/21,265.97
  6. Step 6: Final answer
    x = 16,331.38

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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.