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Finding the Fourth Proportional to 21,224.56, 31,793.09 and 12,432.82

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Solution

The fourth proportional to 21,224.56, 31,793.09 and 12,432.82 is: 18,623.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,224.56 : 31,793.09 = 12,432.82 : x
  2. Step 2: Convert to fraction form
    21,224.56/31,793.09 = 12,432.82/x
  3. Step 3: Cross multiply
    21,224.56x = 31,793.09 × 12,432.82
  4. Step 4: Simplify right side
    21,224.56x = 395,277,765.21
  5. Step 5: Solve for x
    x = 395,277,765.21/21,224.56
  6. Step 6: Final answer
    x = 18,623.60

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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.