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Finding the Fourth Proportional to 16,732.91, 23,091.45 and 9,659.33

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Solution

The fourth proportional to 16,732.91, 23,091.45 and 9,659.33 is: 13,329.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,732.91 : 23,091.45 = 9,659.33 : x
  2. Step 2: Convert to fraction form
    16,732.91/23,091.45 = 9,659.33/x
  3. Step 3: Cross multiply
    16,732.91x = 23,091.45 × 9,659.33
  4. Step 4: Simplify right side
    16,732.91x = 223,047,820.27
  5. Step 5: Solve for x
    x = 223,047,820.27/16,732.91
  6. Step 6: Final answer
    x = 13,329.89

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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.