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Finding the Fourth Proportional to 17,661.78, 24,373.38 and 9,704.16

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Solution

The fourth proportional to 17,661.78, 24,373.38 and 9,704.16 is: 13,391.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,661.78 : 24,373.38 = 9,704.16 : x
  2. Step 2: Convert to fraction form
    17,661.78/24,373.38 = 9,704.16/x
  3. Step 3: Cross multiply
    17,661.78x = 24,373.38 × 9,704.16
  4. Step 4: Simplify right side
    17,661.78x = 236,523,179.26
  5. Step 5: Solve for x
    x = 236,523,179.26/17,661.78
  6. Step 6: Final answer
    x = 13,391.81

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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.