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Finding the Fourth Proportional to 18,414.44, 25,411.38 and 10,238

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Solution

The fourth proportional to 18,414.44, 25,411.38 and 10,238 is: 14,128.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,414.44 : 25,411.38 = 10,238 : x
  2. Step 2: Convert to fraction form
    18,414.44/25,411.38 = 10,238/x
  3. Step 3: Cross multiply
    18,414.44x = 25,411.38 × 10,238
  4. Step 4: Simplify right side
    18,414.44x = 260,161,708.44
  5. Step 5: Solve for x
    x = 260,161,708.44/18,414.44
  6. Step 6: Final answer
    x = 14,128.14

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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.