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Finding the Fourth Proportional to 17,718.14, 24,450.74 and 9,760.38

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Solution

The fourth proportional to 17,718.14, 24,450.74 and 9,760.38 is: 13,469.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,718.14 : 24,450.74 = 9,760.38 : x
  2. Step 2: Convert to fraction form
    17,718.14/24,450.74 = 9,760.38/x
  3. Step 3: Cross multiply
    17,718.14x = 24,450.74 × 9,760.38
  4. Step 4: Simplify right side
    17,718.14x = 238,648,513.68
  5. Step 5: Solve for x
    x = 238,648,513.68/17,718.14
  6. Step 6: Final answer
    x = 13,469.16

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Why These Related Problems?

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