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Finding the Fourth Proportional to 14,614.02, 20,165.86 and 8,644.52

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Solution

The fourth proportional to 14,614.02, 20,165.86 and 8,644.52 is: 11,928.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,614.02 : 20,165.86 = 8,644.52 : x
  2. Step 2: Convert to fraction form
    14,614.02/20,165.86 = 8,644.52/x
  3. Step 3: Cross multiply
    14,614.02x = 20,165.86 × 8,644.52
  4. Step 4: Simplify right side
    14,614.02x = 174,324,241.31
  5. Step 5: Solve for x
    x = 174,324,241.31/14,614.02
  6. Step 6: Final answer
    x = 11,928.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.