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Finding the Fourth Proportional to 16,614.60, 22,928.66 and 9,542.44

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Solution

The fourth proportional to 16,614.60, 22,928.66 and 9,542.44 is: 13,168.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,614.60 : 22,928.66 = 9,542.44 : x
  2. Step 2: Convert to fraction form
    16,614.60/22,928.66 = 9,542.44/x
  3. Step 3: Cross multiply
    16,614.60x = 22,928.66 × 9,542.44
  4. Step 4: Simplify right side
    16,614.60x = 218,795,362.33
  5. Step 5: Solve for x
    x = 218,795,362.33/16,614.60
  6. Step 6: Final answer
    x = 13,168.86

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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.