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Finding the Fourth Proportional to 13,847.23, 20,757.88 and 7,678.27

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Solution

The fourth proportional to 13,847.23, 20,757.88 and 7,678.27 is: 11,510.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,847.23 : 20,757.88 = 7,678.27 : x
  2. Step 2: Convert to fraction form
    13,847.23/20,757.88 = 7,678.27/x
  3. Step 3: Cross multiply
    13,847.23x = 20,757.88 × 7,678.27
  4. Step 4: Simplify right side
    13,847.23x = 159,384,607.27
  5. Step 5: Solve for x
    x = 159,384,607.27/13,847.23
  6. Step 6: Final answer
    x = 11,510.22

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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.