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Finding the Fourth Proportional to 17,175.96, 25,762.68 and 5,486.04

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Solution

The fourth proportional to 17,175.96, 25,762.68 and 5,486.04 is: 8,228.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,175.96 : 25,762.68 = 5,486.04 : x
  2. Step 2: Convert to fraction form
    17,175.96/25,762.68 = 5,486.04/x
  3. Step 3: Cross multiply
    17,175.96x = 25,762.68 × 5,486.04
  4. Step 4: Simplify right side
    17,175.96x = 141,335,092.99
  5. Step 5: Solve for x
    x = 141,335,092.99/17,175.96
  6. Step 6: Final answer
    x = 8,228.66

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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.