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Finding the Fourth Proportional to 21,493.22, 32,229.46 and 9,009.89

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Solution

The fourth proportional to 21,493.22, 32,229.46 and 9,009.89 is: 13,510.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,493.22 : 32,229.46 = 9,009.89 : x
  2. Step 2: Convert to fraction form
    21,493.22/32,229.46 = 9,009.89/x
  3. Step 3: Cross multiply
    21,493.22x = 32,229.46 × 9,009.89
  4. Step 4: Simplify right side
    21,493.22x = 290,383,947.41
  5. Step 5: Solve for x
    x = 290,383,947.41/21,493.22
  6. Step 6: Final answer
    x = 13,510.49

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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.