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Finding the Fourth Proportional to 17,718.13, 24,450.75 and 9,760.36

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Solution

The fourth proportional to 17,718.13, 24,450.75 and 9,760.36 is: 13,469.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,718.13 : 24,450.75 = 9,760.36 : x
  2. Step 2: Convert to fraction form
    17,718.13/24,450.75 = 9,760.36/x
  3. Step 3: Cross multiply
    17,718.13x = 24,450.75 × 9,760.36
  4. Step 4: Simplify right side
    17,718.13x = 238,648,122.27
  5. Step 5: Solve for x
    x = 238,648,122.27/17,718.13
  6. Step 6: Final answer
    x = 13,469.15

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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.