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Finding the Fourth Proportional to 13,383.85, 18,469.72 and 7,415.62

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Solution

The fourth proportional to 13,383.85, 18,469.72 and 7,415.62 is: 10,233.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,383.85 : 18,469.72 = 7,415.62 : x
  2. Step 2: Convert to fraction form
    13,383.85/18,469.72 = 7,415.62/x
  3. Step 3: Cross multiply
    13,383.85x = 18,469.72 × 7,415.62
  4. Step 4: Simplify right side
    13,383.85x = 136,964,388.12
  5. Step 5: Solve for x
    x = 136,964,388.12/13,383.85
  6. Step 6: Final answer
    x = 10,233.56

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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.