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Finding the Fourth Proportional to 18,049.38, 24,907.41 and 9,982.50

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Solution

The fourth proportional to 18,049.38, 24,907.41 and 9,982.50 is: 13,775.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,049.38 : 24,907.41 = 9,982.50 : x
  2. Step 2: Convert to fraction form
    18,049.38/24,907.41 = 9,982.50/x
  3. Step 3: Cross multiply
    18,049.38x = 24,907.41 × 9,982.50
  4. Step 4: Simplify right side
    18,049.38x = 248,638,220.33
  5. Step 5: Solve for x
    x = 248,638,220.33/18,049.38
  6. Step 6: Final answer
    x = 13,775.45

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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.