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Finding the Fourth Proportional to 18,805.78, 25,950.81 and 10,422.34

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Solution

The fourth proportional to 18,805.78, 25,950.81 and 10,422.34 is: 14,382.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,805.78 : 25,950.81 = 10,422.34 : x
  2. Step 2: Convert to fraction form
    18,805.78/25,950.81 = 10,422.34/x
  3. Step 3: Cross multiply
    18,805.78x = 25,950.81 × 10,422.34
  4. Step 4: Simplify right side
    18,805.78x = 270,468,165.10
  5. Step 5: Solve for x
    x = 270,468,165.10/18,805.78
  6. Step 6: Final answer
    x = 14,382.18

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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.