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Finding the Fourth Proportional to 20,697, 31,048.42 and 6,652.32

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Solution

The fourth proportional to 20,697, 31,048.42 and 6,652.32 is: 9,979.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,697 : 31,048.42 = 6,652.32 : x
  2. Step 2: Convert to fraction form
    20,697/31,048.42 = 6,652.32/x
  3. Step 3: Cross multiply
    20,697x = 31,048.42 × 6,652.32
  4. Step 4: Simplify right side
    20,697x = 206,544,025.33
  5. Step 5: Solve for x
    x = 206,544,025.33/20,697
  6. Step 6: Final answer
    x = 9,979.42

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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.