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Finding the Fourth Proportional to 19,327.18, 28,989.86 and 6,847

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Solution

The fourth proportional to 19,327.18, 28,989.86 and 6,847 is: 10,270.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,327.18 : 28,989.86 = 6,847 : x
  2. Step 2: Convert to fraction form
    19,327.18/28,989.86 = 6,847/x
  3. Step 3: Cross multiply
    19,327.18x = 28,989.86 × 6,847
  4. Step 4: Simplify right side
    19,327.18x = 198,493,571.42
  5. Step 5: Solve for x
    x = 198,493,571.42/19,327.18
  6. Step 6: Final answer
    x = 10,270.18

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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.