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Finding the Fourth Proportional to 17,166.38, 25,753.68 and 7,165.56

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Solution

The fourth proportional to 17,166.38, 25,753.68 and 7,165.56 is: 10,750.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,166.38 : 25,753.68 = 7,165.56 : x
  2. Step 2: Convert to fraction form
    17,166.38/25,753.68 = 7,165.56/x
  3. Step 3: Cross multiply
    17,166.38x = 25,753.68 × 7,165.56
  4. Step 4: Simplify right side
    17,166.38x = 184,539,539.26
  5. Step 5: Solve for x
    x = 184,539,539.26/17,166.38
  6. Step 6: Final answer
    x = 10,750.06

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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.