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Finding the Fourth Proportional to 12,189.51, 18,231.47 and 7,179.94

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Solution

The fourth proportional to 12,189.51, 18,231.47 and 7,179.94 is: 10,738.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189.51 : 18,231.47 = 7,179.94 : x
  2. Step 2: Convert to fraction form
    12,189.51/18,231.47 = 7,179.94/x
  3. Step 3: Cross multiply
    12,189.51x = 18,231.47 × 7,179.94
  4. Step 4: Simplify right side
    12,189.51x = 130,900,874.53
  5. Step 5: Solve for x
    x = 130,900,874.53/12,189.51
  6. Step 6: Final answer
    x = 10,738.81

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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.