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Finding the Fourth Proportional to 13,463.80, 20,165.63 and 9,757.52

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Solution

The fourth proportional to 13,463.80, 20,165.63 and 9,757.52 is: 14,614.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,463.80 : 20,165.63 = 9,757.52 : x
  2. Step 2: Convert to fraction form
    13,463.80/20,165.63 = 9,757.52/x
  3. Step 3: Cross multiply
    13,463.80x = 20,165.63 × 9,757.52
  4. Step 4: Simplify right side
    13,463.80x = 196,766,538.04
  5. Step 5: Solve for x
    x = 196,766,538.04/13,463.80
  6. Step 6: Final answer
    x = 14,614.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.