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Finding the Fourth Proportional to 21,156.75, 29,199.41 and 12,202.49

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Solution

The fourth proportional to 21,156.75, 29,199.41 and 12,202.49 is: 16,841.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,156.75 : 29,199.41 = 12,202.49 : x
  2. Step 2: Convert to fraction form
    21,156.75/29,199.41 = 12,202.49/x
  3. Step 3: Cross multiply
    21,156.75x = 29,199.41 × 12,202.49
  4. Step 4: Simplify right side
    21,156.75x = 356,305,301.52
  5. Step 5: Solve for x
    x = 356,305,301.52/21,156.75
  6. Step 6: Final answer
    x = 16,841.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.