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Finding the Fourth Proportional to 12,171.82, 18,291.81 and 7,242.22

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Solution

The fourth proportional to 12,171.82, 18,291.81 and 7,242.22 is: 10,883.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,171.82 : 18,291.81 = 7,242.22 : x
  2. Step 2: Convert to fraction form
    12,171.82/18,291.81 = 7,242.22/x
  3. Step 3: Cross multiply
    12,171.82x = 18,291.81 × 7,242.22
  4. Step 4: Simplify right side
    12,171.82x = 132,473,312.22
  5. Step 5: Solve for x
    x = 132,473,312.22/12,171.82
  6. Step 6: Final answer
    x = 10,883.61

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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.