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Finding the Fourth Proportional to 21,753.77, 32,661.38 and 11,231.06

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Solution

The fourth proportional to 21,753.77, 32,661.38 and 11,231.06 is: 16,862.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,753.77 : 32,661.38 = 11,231.06 : x
  2. Step 2: Convert to fraction form
    21,753.77/32,661.38 = 11,231.06/x
  3. Step 3: Cross multiply
    21,753.77x = 32,661.38 × 11,231.06
  4. Step 4: Simplify right side
    21,753.77x = 366,821,720.06
  5. Step 5: Solve for x
    x = 366,821,720.06/21,753.77
  6. Step 6: Final answer
    x = 16,862.45

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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.