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Finding the Fourth Proportional to 21,691, 29,933.76 and 11,755

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Solution

The fourth proportional to 21,691, 29,933.76 and 11,755 is: 16,222.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,691 : 29,933.76 = 11,755 : x
  2. Step 2: Convert to fraction form
    21,691/29,933.76 = 11,755/x
  3. Step 3: Cross multiply
    21,691x = 29,933.76 × 11,755
  4. Step 4: Simplify right side
    21,691x = 351,871,348.80
  5. Step 5: Solve for x
    x = 351,871,348.80/21,691
  6. Step 6: Final answer
    x = 16,222.00

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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.