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Finding the Fourth Proportional to 13,463.30, 20,164.88 and 9,757.02

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Solution

The fourth proportional to 13,463.30, 20,164.88 and 9,757.02 is: 14,613.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,463.30 : 20,164.88 = 9,757.02 : x
  2. Step 2: Convert to fraction form
    13,463.30/20,164.88 = 9,757.02/x
  3. Step 3: Cross multiply
    13,463.30x = 20,164.88 × 9,757.02
  4. Step 4: Simplify right side
    13,463.30x = 196,749,131.82
  5. Step 5: Solve for x
    x = 196,749,131.82/13,463.30
  6. Step 6: Final answer
    x = 14,613.74

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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.