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Finding the Fourth Proportional to 17,542.73, 26,305.57 and 5,852

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Solution

The fourth proportional to 17,542.73, 26,305.57 and 5,852 is: 8,775.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,542.73 : 26,305.57 = 5,852 : x
  2. Step 2: Convert to fraction form
    17,542.73/26,305.57 = 5,852/x
  3. Step 3: Cross multiply
    17,542.73x = 26,305.57 × 5,852
  4. Step 4: Simplify right side
    17,542.73x = 153,940,166.38
  5. Step 5: Solve for x
    x = 153,940,166.38/17,542.73
  6. Step 6: Final answer
    x = 8,775.15

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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.