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Finding the Fourth Proportional to 20,614.92, 30,925.42 and 7,464.22

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Solution

The fourth proportional to 20,614.92, 30,925.42 and 7,464.22 is: 11,197.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,614.92 : 30,925.42 = 7,464.22 : x
  2. Step 2: Convert to fraction form
    20,614.92/30,925.42 = 7,464.22/x
  3. Step 3: Cross multiply
    20,614.92x = 30,925.42 × 7,464.22
  4. Step 4: Simplify right side
    20,614.92x = 230,834,042.50
  5. Step 5: Solve for x
    x = 230,834,042.50/20,614.92
  6. Step 6: Final answer
    x = 11,197.43

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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.