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Finding the Fourth Proportional to 21,475.44, 32,208.30 and 9,792

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Solution

The fourth proportional to 21,475.44, 32,208.30 and 9,792 is: 14,685.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,475.44 : 32,208.30 = 9,792 : x
  2. Step 2: Convert to fraction form
    21,475.44/32,208.30 = 9,792/x
  3. Step 3: Cross multiply
    21,475.44x = 32,208.30 × 9,792
  4. Step 4: Simplify right side
    21,475.44x = 315,383,673.60
  5. Step 5: Solve for x
    x = 315,383,673.60/21,475.44
  6. Step 6: Final answer
    x = 14,685.78

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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.