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Finding the Fourth Proportional to 17,443.72, 26,166.86 and 5,757

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Solution

The fourth proportional to 17,443.72, 26,166.86 and 5,757 is: 8,635.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,443.72 : 26,166.86 = 5,757 : x
  2. Step 2: Convert to fraction form
    17,443.72/26,166.86 = 5,757/x
  3. Step 3: Cross multiply
    17,443.72x = 26,166.86 × 5,757
  4. Step 4: Simplify right side
    17,443.72x = 150,642,613.02
  5. Step 5: Solve for x
    x = 150,642,613.02/17,443.72
  6. Step 6: Final answer
    x = 8,635.92

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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.