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Finding the Fourth Proportional to 17,741.88, 26,609.94 and 5,427

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Solution

The fourth proportional to 17,741.88, 26,609.94 and 5,427 is: 8,139.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,741.88 : 26,609.94 = 5,427 : x
  2. Step 2: Convert to fraction form
    17,741.88/26,609.94 = 5,427/x
  3. Step 3: Cross multiply
    17,741.88x = 26,609.94 × 5,427
  4. Step 4: Simplify right side
    17,741.88x = 144,412,144.38
  5. Step 5: Solve for x
    x = 144,412,144.38/17,741.88
  6. Step 6: Final answer
    x = 8,139.62

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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.