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Finding the Fourth Proportional to 18,642.88, 25,727.17 and 10,259.38

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Solution

The fourth proportional to 18,642.88, 25,727.17 and 10,259.38 is: 14,157.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,642.88 : 25,727.17 = 10,259.38 : x
  2. Step 2: Convert to fraction form
    18,642.88/25,727.17 = 10,259.38/x
  3. Step 3: Cross multiply
    18,642.88x = 25,727.17 × 10,259.38
  4. Step 4: Simplify right side
    18,642.88x = 263,944,813.35
  5. Step 5: Solve for x
    x = 263,944,813.35/18,642.88
  6. Step 6: Final answer
    x = 14,157.94

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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.