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Finding the Fourth Proportional to 20,990.70, 31,486.32 and 6,199.83

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Solution

The fourth proportional to 20,990.70, 31,486.32 and 6,199.83 is: 9,299.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,990.70 : 31,486.32 = 6,199.83 : x
  2. Step 2: Convert to fraction form
    20,990.70/31,486.32 = 6,199.83/x
  3. Step 3: Cross multiply
    20,990.70x = 31,486.32 × 6,199.83
  4. Step 4: Simplify right side
    20,990.70x = 195,209,831.33
  5. Step 5: Solve for x
    x = 195,209,831.33/20,990.70
  6. Step 6: Final answer
    x = 9,299.82

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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.