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Finding the Fourth Proportional to 20,994.99, 31,497.90 and 7,847.46

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Solution

The fourth proportional to 20,994.99, 31,497.90 and 7,847.46 is: 11,773.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,994.99 : 31,497.90 = 7,847.46 : x
  2. Step 2: Convert to fraction form
    20,994.99/31,497.90 = 7,847.46/x
  3. Step 3: Cross multiply
    20,994.99x = 31,497.90 × 7,847.46
  4. Step 4: Simplify right side
    20,994.99x = 247,178,510.33
  5. Step 5: Solve for x
    x = 247,178,510.33/20,994.99
  6. Step 6: Final answer
    x = 11,773.21

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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.