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Finding the Fourth Proportional to 16,383.89, 24,538.37 and 9,796.56

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Solution

The fourth proportional to 16,383.89, 24,538.37 and 9,796.56 is: 14,672.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,383.89 : 24,538.37 = 9,796.56 : x
  2. Step 2: Convert to fraction form
    16,383.89/24,538.37 = 9,796.56/x
  3. Step 3: Cross multiply
    16,383.89x = 24,538.37 × 9,796.56
  4. Step 4: Simplify right side
    16,383.89x = 240,391,565.02
  5. Step 5: Solve for x
    x = 240,391,565.02/16,383.89
  6. Step 6: Final answer
    x = 14,672.44

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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.