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Finding the Fourth Proportional to 18,140.97, 25,033.16 and 10,181.66

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Solution

The fourth proportional to 18,140.97, 25,033.16 and 10,181.66 is: 14,049.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,140.97 : 25,033.16 = 10,181.66 : x
  2. Step 2: Convert to fraction form
    18,140.97/25,033.16 = 10,181.66/x
  3. Step 3: Cross multiply
    18,140.97x = 25,033.16 × 10,181.66
  4. Step 4: Simplify right side
    18,140.97x = 254,879,123.85
  5. Step 5: Solve for x
    x = 254,879,123.85/18,140.97
  6. Step 6: Final answer
    x = 14,049.92

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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.