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Finding the Fourth Proportional to 18,798.56, 25,942.20 and 10,415

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Solution

The fourth proportional to 18,798.56, 25,942.20 and 10,415 is: 14,372.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,798.56 : 25,942.20 = 10,415 : x
  2. Step 2: Convert to fraction form
    18,798.56/25,942.20 = 10,415/x
  3. Step 3: Cross multiply
    18,798.56x = 25,942.20 × 10,415
  4. Step 4: Simplify right side
    18,798.56x = 270,188,013
  5. Step 5: Solve for x
    x = 270,188,013/18,798.56
  6. Step 6: Final answer
    x = 14,372.80

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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.