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Finding the Fourth Proportional to 21,084.80, 29,097.24 and 11,524.96

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Solution

The fourth proportional to 21,084.80, 29,097.24 and 11,524.96 is: 15,904.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,084.80 : 29,097.24 = 11,524.96 : x
  2. Step 2: Convert to fraction form
    21,084.80/29,097.24 = 11,524.96/x
  3. Step 3: Cross multiply
    21,084.80x = 29,097.24 × 11,524.96
  4. Step 4: Simplify right side
    21,084.80x = 335,344,527.11
  5. Step 5: Solve for x
    x = 335,344,527.11/21,084.80
  6. Step 6: Final answer
    x = 15,904.56

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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.