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Finding the Fourth Proportional to 22,612.56, 33,924.92 and 9,458

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Solution

The fourth proportional to 22,612.56, 33,924.92 and 9,458 is: 14,189.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,612.56 : 33,924.92 = 9,458 : x
  2. Step 2: Convert to fraction form
    22,612.56/33,924.92 = 9,458/x
  3. Step 3: Cross multiply
    22,612.56x = 33,924.92 × 9,458
  4. Step 4: Simplify right side
    22,612.56x = 320,861,893.36
  5. Step 5: Solve for x
    x = 320,861,893.36/22,612.56
  6. Step 6: Final answer
    x = 14,189.54

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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.