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Finding the Fourth Proportional to 20,867.52, 31,301.44 and 7,016.32

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Solution

The fourth proportional to 20,867.52, 31,301.44 and 7,016.32 is: 10,524.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,867.52 : 31,301.44 = 7,016.32 : x
  2. Step 2: Convert to fraction form
    20,867.52/31,301.44 = 7,016.32/x
  3. Step 3: Cross multiply
    20,867.52x = 31,301.44 × 7,016.32
  4. Step 4: Simplify right side
    20,867.52x = 219,620,919.50
  5. Step 5: Solve for x
    x = 219,620,919.50/20,867.52
  6. Step 6: Final answer
    x = 10,524.53

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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.