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Finding the Fourth Proportional to 12,233.54, 16,874.66 and 10,184.22

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Solution

The fourth proportional to 12,233.54, 16,874.66 and 10,184.22 is: 14,047.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,233.54 : 16,874.66 = 10,184.22 : x
  2. Step 2: Convert to fraction form
    12,233.54/16,874.66 = 10,184.22/x
  3. Step 3: Cross multiply
    12,233.54x = 16,874.66 × 10,184.22
  4. Step 4: Simplify right side
    12,233.54x = 171,855,249.87
  5. Step 5: Solve for x
    x = 171,855,249.87/12,233.54
  6. Step 6: Final answer
    x = 14,047.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.