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Finding the Fourth Proportional to 18,797.50, 25,941.40 and 10,414

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Solution

The fourth proportional to 18,797.50, 25,941.40 and 10,414 is: 14,371.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,797.50 : 25,941.40 = 10,414 : x
  2. Step 2: Convert to fraction form
    18,797.50/25,941.40 = 10,414/x
  3. Step 3: Cross multiply
    18,797.50x = 25,941.40 × 10,414
  4. Step 4: Simplify right side
    18,797.50x = 270,153,739.60
  5. Step 5: Solve for x
    x = 270,153,739.60/18,797.50
  6. Step 6: Final answer
    x = 14,371.79

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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.