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Finding the Fourth Proportional to 14,181.69, 19,568.34 and 8,212.33

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Solution

The fourth proportional to 14,181.69, 19,568.34 and 8,212.33 is: 11,331.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,181.69 : 19,568.34 = 8,212.33 : x
  2. Step 2: Convert to fraction form
    14,181.69/19,568.34 = 8,212.33/x
  3. Step 3: Cross multiply
    14,181.69x = 19,568.34 × 8,212.33
  4. Step 4: Simplify right side
    14,181.69x = 160,701,665.63
  5. Step 5: Solve for x
    x = 160,701,665.63/14,181.69
  6. Step 6: Final answer
    x = 11,331.63

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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.