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Finding the Fourth Proportional to 24,713.78, 34,105.03 and 13,383.36

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Solution

The fourth proportional to 24,713.78, 34,105.03 and 13,383.36 is: 18,469.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,713.78 : 34,105.03 = 13,383.36 : x
  2. Step 2: Convert to fraction form
    24,713.78/34,105.03 = 13,383.36/x
  3. Step 3: Cross multiply
    24,713.78x = 34,105.03 × 13,383.36
  4. Step 4: Simplify right side
    24,713.78x = 456,439,860.84
  5. Step 5: Solve for x
    x = 456,439,860.84/24,713.78
  6. Step 6: Final answer
    x = 18,469.05

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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.