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Finding the Fourth Proportional to 13,842.96, 20,753.10 and 9,468.96

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Solution

The fourth proportional to 13,842.96, 20,753.10 and 9,468.96 is: 14,195.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.96 : 20,753.10 = 9,468.96 : x
  2. Step 2: Convert to fraction form
    13,842.96/20,753.10 = 9,468.96/x
  3. Step 3: Cross multiply
    13,842.96x = 20,753.10 × 9,468.96
  4. Step 4: Simplify right side
    13,842.96x = 196,510,273.78
  5. Step 5: Solve for x
    x = 196,510,273.78/13,842.96
  6. Step 6: Final answer
    x = 14,195.68

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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.