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Finding the Fourth Proportional to 17,583.42, 24,265.38 and 9,626.38

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Solution

The fourth proportional to 17,583.42, 24,265.38 and 9,626.38 is: 13,284.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,583.42 : 24,265.38 = 9,626.38 : x
  2. Step 2: Convert to fraction form
    17,583.42/24,265.38 = 9,626.38/x
  3. Step 3: Cross multiply
    17,583.42x = 24,265.38 × 9,626.38
  4. Step 4: Simplify right side
    17,583.42x = 233,587,768.72
  5. Step 5: Solve for x
    x = 233,587,768.72/17,583.42
  6. Step 6: Final answer
    x = 13,284.55

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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.