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Finding the Fourth Proportional to 20,992.38, 31,485.84 and 6,202.86

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Solution

The fourth proportional to 20,992.38, 31,485.84 and 6,202.86 is: 9,303.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,992.38 : 31,485.84 = 6,202.86 : x
  2. Step 2: Convert to fraction form
    20,992.38/31,485.84 = 6,202.86/x
  3. Step 3: Cross multiply
    20,992.38x = 31,485.84 × 6,202.86
  4. Step 4: Simplify right side
    20,992.38x = 195,302,257.50
  5. Step 5: Solve for x
    x = 195,302,257.50/20,992.38
  6. Step 6: Final answer
    x = 9,303.48

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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.