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Finding the Fourth Proportional to 13,846.68, 20,777.28 and 8,311.16

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Solution

The fourth proportional to 13,846.68, 20,777.28 and 8,311.16 is: 12,471.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,846.68 : 20,777.28 = 8,311.16 : x
  2. Step 2: Convert to fraction form
    13,846.68/20,777.28 = 8,311.16/x
  3. Step 3: Cross multiply
    13,846.68x = 20,777.28 × 8,311.16
  4. Step 4: Simplify right side
    13,846.68x = 172,683,298.44
  5. Step 5: Solve for x
    x = 172,683,298.44/13,846.68
  6. Step 6: Final answer
    x = 12,471.10

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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.