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Finding the Fourth Proportional to 27,513.96, 37,968.62 and 16,181.24

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Solution

The fourth proportional to 27,513.96, 37,968.62 and 16,181.24 is: 22,329.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,513.96 : 37,968.62 = 16,181.24 : x
  2. Step 2: Convert to fraction form
    27,513.96/37,968.62 = 16,181.24/x
  3. Step 3: Cross multiply
    27,513.96x = 37,968.62 × 16,181.24
  4. Step 4: Simplify right side
    27,513.96x = 614,379,352.69
  5. Step 5: Solve for x
    x = 614,379,352.69/27,513.96
  6. Step 6: Final answer
    x = 22,329.73

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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.