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Finding the Fourth Proportional to 16,832.88, 23,229.41 and 9,663.03

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Solution

The fourth proportional to 16,832.88, 23,229.41 and 9,663.03 is: 13,335.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,832.88 : 23,229.41 = 9,663.03 : x
  2. Step 2: Convert to fraction form
    16,832.88/23,229.41 = 9,663.03/x
  3. Step 3: Cross multiply
    16,832.88x = 23,229.41 × 9,663.03
  4. Step 4: Simplify right side
    16,832.88x = 224,466,437.40
  5. Step 5: Solve for x
    x = 224,466,437.40/16,832.88
  6. Step 6: Final answer
    x = 13,335.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.