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Finding the Fourth Proportional to 12,076.80, 18,123.30 and 7,141.20

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Solution

The fourth proportional to 12,076.80, 18,123.30 and 7,141.20 is: 10,716.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,076.80 : 18,123.30 = 7,141.20 : x
  2. Step 2: Convert to fraction form
    12,076.80/18,123.30 = 7,141.20/x
  3. Step 3: Cross multiply
    12,076.80x = 18,123.30 × 7,141.20
  4. Step 4: Simplify right side
    12,076.80x = 129,422,109.96
  5. Step 5: Solve for x
    x = 129,422,109.96/12,076.80
  6. Step 6: Final answer
    x = 10,716.59

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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.