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Finding the Fourth Proportional to 12,161.80, 18,233.86 and 8,203.23

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Solution

The fourth proportional to 12,161.80, 18,233.86 and 8,203.23 is: 12,298.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,161.80 : 18,233.86 = 8,203.23 : x
  2. Step 2: Convert to fraction form
    12,161.80/18,233.86 = 8,203.23/x
  3. Step 3: Cross multiply
    12,161.80x = 18,233.86 × 8,203.23
  4. Step 4: Simplify right side
    12,161.80x = 149,576,547.37
  5. Step 5: Solve for x
    x = 149,576,547.37/12,161.80
  6. Step 6: Final answer
    x = 12,298.88

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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.