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Finding the Fourth Proportional to 18,074, 24,940.68 and 10,115.84

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Solution

The fourth proportional to 18,074, 24,940.68 and 10,115.84 is: 13,959.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,074 : 24,940.68 = 10,115.84 : x
  2. Step 2: Convert to fraction form
    18,074/24,940.68 = 10,115.84/x
  3. Step 3: Cross multiply
    18,074x = 24,940.68 × 10,115.84
  4. Step 4: Simplify right side
    18,074x = 252,295,928.37
  5. Step 5: Solve for x
    x = 252,295,928.37/18,074
  6. Step 6: Final answer
    x = 13,959.05

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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.