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Finding the Fourth Proportional to 13,615.14, 18,796.05 and 9,162.30

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Solution

The fourth proportional to 13,615.14, 18,796.05 and 9,162.30 is: 12,648.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,615.14 : 18,796.05 = 9,162.30 : x
  2. Step 2: Convert to fraction form
    13,615.14/18,796.05 = 9,162.30/x
  3. Step 3: Cross multiply
    13,615.14x = 18,796.05 × 9,162.30
  4. Step 4: Simplify right side
    13,615.14x = 172,215,048.92
  5. Step 5: Solve for x
    x = 172,215,048.92/13,615.14
  6. Step 6: Final answer
    x = 12,648.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.