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Finding the Fourth Proportional to 20,990.86, 31,478.94 and 6,195.84

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Solution

The fourth proportional to 20,990.86, 31,478.94 and 6,195.84 is: 9,291.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,990.86 : 31,478.94 = 6,195.84 : x
  2. Step 2: Convert to fraction form
    20,990.86/31,478.94 = 6,195.84/x
  3. Step 3: Cross multiply
    20,990.86x = 31,478.94 × 6,195.84
  4. Step 4: Simplify right side
    20,990.86x = 195,038,475.61
  5. Step 5: Solve for x
    x = 195,038,475.61/20,990.86
  6. Step 6: Final answer
    x = 9,291.59

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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.