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Finding the Fourth Proportional to 20,446.86, 30,670.26 and 6,407.97

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Solution

The fourth proportional to 20,446.86, 30,670.26 and 6,407.97 is: 9,611.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,446.86 : 30,670.26 = 6,407.97 : x
  2. Step 2: Convert to fraction form
    20,446.86/30,670.26 = 6,407.97/x
  3. Step 3: Cross multiply
    20,446.86x = 30,670.26 × 6,407.97
  4. Step 4: Simplify right side
    20,446.86x = 196,534,013.28
  5. Step 5: Solve for x
    x = 196,534,013.28/20,446.86
  6. Step 6: Final answer
    x = 9,611.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.