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Finding the Fourth Proportional to 17,027.48, 25,551.18 and 7,166

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Solution

The fourth proportional to 17,027.48, 25,551.18 and 7,166 is: 10,753.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,027.48 : 25,551.18 = 7,166 : x
  2. Step 2: Convert to fraction form
    17,027.48/25,551.18 = 7,166/x
  3. Step 3: Cross multiply
    17,027.48x = 25,551.18 × 7,166
  4. Step 4: Simplify right side
    17,027.48x = 183,099,755.88
  5. Step 5: Solve for x
    x = 183,099,755.88/17,027.48
  6. Step 6: Final answer
    x = 10,753.19

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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.