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Finding the Fourth Proportional to 21,905.27, 30,229.23 and 11,833.68

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Solution

The fourth proportional to 21,905.27, 30,229.23 and 11,833.68 is: 16,330.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,905.27 : 30,229.23 = 11,833.68 : x
  2. Step 2: Convert to fraction form
    21,905.27/30,229.23 = 11,833.68/x
  3. Step 3: Cross multiply
    21,905.27x = 30,229.23 × 11,833.68
  4. Step 4: Simplify right side
    21,905.27x = 357,722,824.15
  5. Step 5: Solve for x
    x = 357,722,824.15/21,905.27
  6. Step 6: Final answer
    x = 16,330.45

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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.