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Finding the Fourth Proportional to 16,833.81, 23,230.66 and 9,760.69

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Solution

The fourth proportional to 16,833.81, 23,230.66 and 9,760.69 is: 13,469.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,833.81 : 23,230.66 = 9,760.69 : x
  2. Step 2: Convert to fraction form
    16,833.81/23,230.66 = 9,760.69/x
  3. Step 3: Cross multiply
    16,833.81x = 23,230.66 × 9,760.69
  4. Step 4: Simplify right side
    16,833.81x = 226,747,270.76
  5. Step 5: Solve for x
    x = 226,747,270.76/16,833.81
  6. Step 6: Final answer
    x = 13,469.75

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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.