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Finding the Fourth Proportional to 12,546.33, 18,814.03 and 4,224.11

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Solution

The fourth proportional to 12,546.33, 18,814.03 and 4,224.11 is: 6,334.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.33 : 18,814.03 = 4,224.11 : x
  2. Step 2: Convert to fraction form
    12,546.33/18,814.03 = 4,224.11/x
  3. Step 3: Cross multiply
    12,546.33x = 18,814.03 × 4,224.11
  4. Step 4: Simplify right side
    12,546.33x = 79,472,511.14
  5. Step 5: Solve for x
    x = 79,472,511.14/12,546.33
  6. Step 6: Final answer
    x = 6,334.32

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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.