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Finding the Fourth Proportional to 21,912.57, 30,231.02 and 13,407.86

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Solution

The fourth proportional to 21,912.57, 30,231.02 and 13,407.86 is: 18,497.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,912.57 : 30,231.02 = 13,407.86 : x
  2. Step 2: Convert to fraction form
    21,912.57/30,231.02 = 13,407.86/x
  3. Step 3: Cross multiply
    21,912.57x = 30,231.02 × 13,407.86
  4. Step 4: Simplify right side
    21,912.57x = 405,333,392.91
  5. Step 5: Solve for x
    x = 405,333,392.91/21,912.57
  6. Step 6: Final answer
    x = 18,497.76

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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.