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Finding the Fourth Proportional to 12,027.70, 18,041.55 and 6,843.70

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Solution

The fourth proportional to 12,027.70, 18,041.55 and 6,843.70 is: 10,265.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,027.70 : 18,041.55 = 6,843.70 : x
  2. Step 2: Convert to fraction form
    12,027.70/18,041.55 = 6,843.70/x
  3. Step 3: Cross multiply
    12,027.70x = 18,041.55 × 6,843.70
  4. Step 4: Simplify right side
    12,027.70x = 123,470,955.74
  5. Step 5: Solve for x
    x = 123,470,955.74/12,027.70
  6. Step 6: Final answer
    x = 10,265.55

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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.