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Finding the Fourth Proportional to 18,592.38, 25,658.03 and 10,209.42

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Solution

The fourth proportional to 18,592.38, 25,658.03 and 10,209.42 is: 14,089.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,592.38 : 25,658.03 = 10,209.42 : x
  2. Step 2: Convert to fraction form
    18,592.38/25,658.03 = 10,209.42/x
  3. Step 3: Cross multiply
    18,592.38x = 25,658.03 × 10,209.42
  4. Step 4: Simplify right side
    18,592.38x = 261,953,604.64
  5. Step 5: Solve for x
    x = 261,953,604.64/18,592.38
  6. Step 6: Final answer
    x = 14,089.30

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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.