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Finding the Fourth Proportional to 18,593.28, 25,658.73 and 10,209.78

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Solution

The fourth proportional to 18,593.28, 25,658.73 and 10,209.78 is: 14,089.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,593.28 : 25,658.73 = 10,209.78 : x
  2. Step 2: Convert to fraction form
    18,593.28/25,658.73 = 10,209.78/x
  3. Step 3: Cross multiply
    18,593.28x = 25,658.73 × 10,209.78
  4. Step 4: Simplify right side
    18,593.28x = 261,969,988.38
  5. Step 5: Solve for x
    x = 261,969,988.38/18,593.28
  6. Step 6: Final answer
    x = 14,089.50

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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.