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Finding the Fourth Proportional to 13,383.74, 18,469.55 and 7,415.78

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Solution

The fourth proportional to 13,383.74, 18,469.55 and 7,415.78 is: 10,233.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,383.74 : 18,469.55 = 7,415.78 : x
  2. Step 2: Convert to fraction form
    13,383.74/18,469.55 = 7,415.78/x
  3. Step 3: Cross multiply
    13,383.74x = 18,469.55 × 7,415.78
  4. Step 4: Simplify right side
    13,383.74x = 136,965,990.07
  5. Step 5: Solve for x
    x = 136,965,990.07/13,383.74
  6. Step 6: Final answer
    x = 10,233.76

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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.