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Finding the Fourth Proportional to 13,383.81, 18,469.44 and 7,415.46

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Solution

The fourth proportional to 13,383.81, 18,469.44 and 7,415.46 is: 10,233.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,383.81 : 18,469.44 = 7,415.46 : x
  2. Step 2: Convert to fraction form
    13,383.81/18,469.44 = 7,415.46/x
  3. Step 3: Cross multiply
    13,383.81x = 18,469.44 × 7,415.46
  4. Step 4: Simplify right side
    13,383.81x = 136,959,393.54
  5. Step 5: Solve for x
    x = 136,959,393.54/13,383.81
  6. Step 6: Final answer
    x = 10,233.21

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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.