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Finding the Fourth Proportional to 23,956.50, 35,920.82 and 9,166.44

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Solution

The fourth proportional to 23,956.50, 35,920.82 and 9,166.44 is: 13,744.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,956.50 : 35,920.82 = 9,166.44 : x
  2. Step 2: Convert to fraction form
    23,956.50/35,920.82 = 9,166.44/x
  3. Step 3: Cross multiply
    23,956.50x = 35,920.82 × 9,166.44
  4. Step 4: Simplify right side
    23,956.50x = 329,266,041.28
  5. Step 5: Solve for x
    x = 329,266,041.28/23,956.50
  6. Step 6: Final answer
    x = 13,744.33

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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.