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Finding the Fourth Proportional to 13,463.94, 20,165.84 and 9,757.66

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Solution

The fourth proportional to 13,463.94, 20,165.84 and 9,757.66 is: 14,614.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,463.94 : 20,165.84 = 9,757.66 : x
  2. Step 2: Convert to fraction form
    13,463.94/20,165.84 = 9,757.66/x
  3. Step 3: Cross multiply
    13,463.94x = 20,165.84 × 9,757.66
  4. Step 4: Simplify right side
    13,463.94x = 196,771,410.33
  5. Step 5: Solve for x
    x = 196,771,410.33/13,463.94
  6. Step 6: Final answer
    x = 14,614.70

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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.