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Finding the Fourth Proportional to 18,205.78, 25,121.12 and 10,246.48

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Solution

The fourth proportional to 18,205.78, 25,121.12 and 10,246.48 is: 14,138.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,205.78 : 25,121.12 = 10,246.48 : x
  2. Step 2: Convert to fraction form
    18,205.78/25,121.12 = 10,246.48/x
  3. Step 3: Cross multiply
    18,205.78x = 25,121.12 × 10,246.48
  4. Step 4: Simplify right side
    18,205.78x = 257,403,053.66
  5. Step 5: Solve for x
    x = 257,403,053.66/18,205.78
  6. Step 6: Final answer
    x = 14,138.53

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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.