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Finding the Fourth Proportional to 12,179.74, 18,270.28 and 5,945.06

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Solution

The fourth proportional to 12,179.74, 18,270.28 and 5,945.06 is: 8,917.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,179.74 : 18,270.28 = 5,945.06 : x
  2. Step 2: Convert to fraction form
    12,179.74/18,270.28 = 5,945.06/x
  3. Step 3: Cross multiply
    12,179.74x = 18,270.28 × 5,945.06
  4. Step 4: Simplify right side
    12,179.74x = 108,617,910.82
  5. Step 5: Solve for x
    x = 108,617,910.82/12,179.74
  6. Step 6: Final answer
    x = 8,917.92

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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.