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Finding the Fourth Proportional to 18,206.19, 25,049.41 and 14,220.38

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Solution

The fourth proportional to 18,206.19, 25,049.41 and 14,220.38 is: 19,565.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,206.19 : 25,049.41 = 14,220.38 : x
  2. Step 2: Convert to fraction form
    18,206.19/25,049.41 = 14,220.38/x
  3. Step 3: Cross multiply
    18,206.19x = 25,049.41 × 14,220.38
  4. Step 4: Simplify right side
    18,206.19x = 356,212,156.05
  5. Step 5: Solve for x
    x = 356,212,156.05/18,206.19
  6. Step 6: Final answer
    x = 19,565.44

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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.