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Finding the Fourth Proportional to 22,459.86, 33,687.90 and 6,876

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Solution

The fourth proportional to 22,459.86, 33,687.90 and 6,876 is: 10,313.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,459.86 : 33,687.90 = 6,876 : x
  2. Step 2: Convert to fraction form
    22,459.86/33,687.90 = 6,876/x
  3. Step 3: Cross multiply
    22,459.86x = 33,687.90 × 6,876
  4. Step 4: Simplify right side
    22,459.86x = 231,638,000.40
  5. Step 5: Solve for x
    x = 231,638,000.40/22,459.86
  6. Step 6: Final answer
    x = 10,313.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.