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Finding the Fourth Proportional to 17,706.38, 24,433.88 and 9,747.07

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Solution

The fourth proportional to 17,706.38, 24,433.88 and 9,747.07 is: 13,450.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,706.38 : 24,433.88 = 9,747.07 : x
  2. Step 2: Convert to fraction form
    17,706.38/24,433.88 = 9,747.07/x
  3. Step 3: Cross multiply
    17,706.38x = 24,433.88 × 9,747.07
  4. Step 4: Simplify right side
    17,706.38x = 238,158,656.33
  5. Step 5: Solve for x
    x = 238,158,656.33/17,706.38
  6. Step 6: Final answer
    x = 13,450.44

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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.