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Finding the Fourth Proportional to 21,086.41, 29,098.42 and 11,654.77

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Solution

The fourth proportional to 21,086.41, 29,098.42 and 11,654.77 is: 16,083.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,086.41 : 29,098.42 = 11,654.77 : x
  2. Step 2: Convert to fraction form
    21,086.41/29,098.42 = 11,654.77/x
  3. Step 3: Cross multiply
    21,086.41x = 29,098.42 × 11,654.77
  4. Step 4: Simplify right side
    21,086.41x = 339,135,392.46
  5. Step 5: Solve for x
    x = 339,135,392.46/21,086.41
  6. Step 6: Final answer
    x = 16,083.13

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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.