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Finding the Fourth Proportional to 27,833.36, 41,706.27 and 21,523.64

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Solution

The fourth proportional to 27,833.36, 41,706.27 and 21,523.64 is: 32,251.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,833.36 : 41,706.27 = 21,523.64 : x
  2. Step 2: Convert to fraction form
    27,833.36/41,706.27 = 21,523.64/x
  3. Step 3: Cross multiply
    27,833.36x = 41,706.27 × 21,523.64
  4. Step 4: Simplify right side
    27,833.36x = 897,670,741.22
  5. Step 5: Solve for x
    x = 897,670,741.22/27,833.36
  6. Step 6: Final answer
    x = 32,251.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.