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Finding the Fourth Proportional to 17,735.16, 24,474.68 and 9,777.68

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Solution

The fourth proportional to 17,735.16, 24,474.68 and 9,777.68 is: 13,493.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,735.16 : 24,474.68 = 9,777.68 : x
  2. Step 2: Convert to fraction form
    17,735.16/24,474.68 = 9,777.68/x
  3. Step 3: Cross multiply
    17,735.16x = 24,474.68 × 9,777.68
  4. Step 4: Simplify right side
    17,735.16x = 239,305,589.14
  5. Step 5: Solve for x
    x = 239,305,589.14/17,735.16
  6. Step 6: Final answer
    x = 13,493.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.