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Finding the Fourth Proportional to 17,735.14, 24,474.66 and 9,777.65

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Solution

The fourth proportional to 17,735.14, 24,474.66 and 9,777.65 is: 13,493.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,735.14 : 24,474.66 = 9,777.65 : x
  2. Step 2: Convert to fraction form
    17,735.14/24,474.66 = 9,777.65/x
  3. Step 3: Cross multiply
    17,735.14x = 24,474.66 × 9,777.65
  4. Step 4: Simplify right side
    17,735.14x = 239,304,536.98
  5. Step 5: Solve for x
    x = 239,304,536.98/17,735.14
  6. Step 6: Final answer
    x = 13,493.24

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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.