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Finding the Fourth Proportional to 21,851.69, 32,777.56 and 9,363.61

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Solution

The fourth proportional to 21,851.69, 32,777.56 and 9,363.61 is: 14,045.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,851.69 : 32,777.56 = 9,363.61 : x
  2. Step 2: Convert to fraction form
    21,851.69/32,777.56 = 9,363.61/x
  3. Step 3: Cross multiply
    21,851.69x = 32,777.56 × 9,363.61
  4. Step 4: Simplify right side
    21,851.69x = 306,916,183.24
  5. Step 5: Solve for x
    x = 306,916,183.24/21,851.69
  6. Step 6: Final answer
    x = 14,045.42

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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.