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Finding the Fourth Proportional to 13,475.28, 20,188.29 and 9,768.31

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Solution

The fourth proportional to 13,475.28, 20,188.29 and 9,768.31 is: 14,634.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,475.28 : 20,188.29 = 9,768.31 : x
  2. Step 2: Convert to fraction form
    13,475.28/20,188.29 = 9,768.31/x
  3. Step 3: Cross multiply
    13,475.28x = 20,188.29 × 9,768.31
  4. Step 4: Simplify right side
    13,475.28x = 197,205,519.86
  5. Step 5: Solve for x
    x = 197,205,519.86/13,475.28
  6. Step 6: Final answer
    x = 14,634.62

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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.