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Finding the Fourth Proportional to 18,102.69, 24,982.43 and 10,144.85

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Solution

The fourth proportional to 18,102.69, 24,982.43 and 10,144.85 is: 14,000.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,102.69 : 24,982.43 = 10,144.85 : x
  2. Step 2: Convert to fraction form
    18,102.69/24,982.43 = 10,144.85/x
  3. Step 3: Cross multiply
    18,102.69x = 24,982.43 × 10,144.85
  4. Step 4: Simplify right side
    18,102.69x = 253,442,829.35
  5. Step 5: Solve for x
    x = 253,442,829.35/18,102.69
  6. Step 6: Final answer
    x = 14,000.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.