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Finding the Fourth Proportional to 13,383.30, 18,469.11 and 7,415.04

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Solution

The fourth proportional to 13,383.30, 18,469.11 and 7,415.04 is: 10,232.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,383.30 : 18,469.11 = 7,415.04 : x
  2. Step 2: Convert to fraction form
    13,383.30/18,469.11 = 7,415.04/x
  3. Step 3: Cross multiply
    13,383.30x = 18,469.11 × 7,415.04
  4. Step 4: Simplify right side
    13,383.30x = 136,949,189.41
  5. Step 5: Solve for x
    x = 136,949,189.41/13,383.30
  6. Step 6: Final answer
    x = 10,232.84

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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.