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Finding the Fourth Proportional to 21,083.84, 29,097.60 and 11,654.24

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Solution

The fourth proportional to 21,083.84, 29,097.60 and 11,654.24 is: 16,083.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,083.84 : 29,097.60 = 11,654.24 : x
  2. Step 2: Convert to fraction form
    21,083.84/29,097.60 = 11,654.24/x
  3. Step 3: Cross multiply
    21,083.84x = 29,097.60 × 11,654.24
  4. Step 4: Simplify right side
    21,083.84x = 339,110,413.82
  5. Step 5: Solve for x
    x = 339,110,413.82/21,083.84
  6. Step 6: Final answer
    x = 16,083.90

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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.