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Finding the Fourth Proportional to 23,900.62, 35,850.12 and 9,109

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Solution

The fourth proportional to 23,900.62, 35,850.12 and 9,109 is: 13,663.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,900.62 : 35,850.12 = 9,109 : x
  2. Step 2: Convert to fraction form
    23,900.62/35,850.12 = 9,109/x
  3. Step 3: Cross multiply
    23,900.62x = 35,850.12 × 9,109
  4. Step 4: Simplify right side
    23,900.62x = 326,558,743.08
  5. Step 5: Solve for x
    x = 326,558,743.08/23,900.62
  6. Step 6: Final answer
    x = 13,663.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.