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Finding the Fourth Proportional to 21,737.82, 29,999.31 and 12,177.14

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Solution

The fourth proportional to 21,737.82, 29,999.31 and 12,177.14 is: 16,805.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,737.82 : 29,999.31 = 12,177.14 : x
  2. Step 2: Convert to fraction form
    21,737.82/29,999.31 = 12,177.14/x
  3. Step 3: Cross multiply
    21,737.82x = 29,999.31 × 12,177.14
  4. Step 4: Simplify right side
    21,737.82x = 365,305,647.78
  5. Step 5: Solve for x
    x = 365,305,647.78/21,737.82
  6. Step 6: Final answer
    x = 16,805.07

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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.