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Finding the Fourth Proportional to 18,236.14, 25,166.10 and 10,278.16

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Solution

The fourth proportional to 18,236.14, 25,166.10 and 10,278.16 is: 14,183.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,236.14 : 25,166.10 = 10,278.16 : x
  2. Step 2: Convert to fraction form
    18,236.14/25,166.10 = 10,278.16/x
  3. Step 3: Cross multiply
    18,236.14x = 25,166.10 × 10,278.16
  4. Step 4: Simplify right side
    18,236.14x = 258,661,202.38
  5. Step 5: Solve for x
    x = 258,661,202.38/18,236.14
  6. Step 6: Final answer
    x = 14,183.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.