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Finding the Fourth Proportional to 13,672.74, 20,494.46 and 9,765.30

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Solution

The fourth proportional to 13,672.74, 20,494.46 and 9,765.30 is: 14,637.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,672.74 : 20,494.46 = 9,765.30 : x
  2. Step 2: Convert to fraction form
    13,672.74/20,494.46 = 9,765.30/x
  3. Step 3: Cross multiply
    13,672.74x = 20,494.46 × 9,765.30
  4. Step 4: Simplify right side
    13,672.74x = 200,134,550.24
  5. Step 5: Solve for x
    x = 200,134,550.24/13,672.74
  6. Step 6: Final answer
    x = 14,637.49

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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.