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Finding the Fourth Proportional to 21,086.28, 29,098.86 and 11,654.64

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Solution

The fourth proportional to 21,086.28, 29,098.86 and 11,654.64 is: 16,083.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,086.28 : 29,098.86 = 11,654.64 : x
  2. Step 2: Convert to fraction form
    21,086.28/29,098.86 = 11,654.64/x
  3. Step 3: Cross multiply
    21,086.28x = 29,098.86 × 11,654.64
  4. Step 4: Simplify right side
    21,086.28x = 339,136,737.71
  5. Step 5: Solve for x
    x = 339,136,737.71/21,086.28
  6. Step 6: Final answer
    x = 16,083.29

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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.