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Finding the Fourth Proportional to 12,174.81, 16,801.46 and 7,142.66

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Solution

The fourth proportional to 12,174.81, 16,801.46 and 7,142.66 is: 9,856.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.81 : 16,801.46 = 7,142.66 : x
  2. Step 2: Convert to fraction form
    12,174.81/16,801.46 = 7,142.66/x
  3. Step 3: Cross multiply
    12,174.81x = 16,801.46 × 7,142.66
  4. Step 4: Simplify right side
    12,174.81x = 120,006,996.56
  5. Step 5: Solve for x
    x = 120,006,996.56/12,174.81
  6. Step 6: Final answer
    x = 9,856.99

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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.