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Finding the Fourth Proportional to 14,500, 20,010.24 and 7,876

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Solution

The fourth proportional to 14,500, 20,010.24 and 7,876 is: 10,869.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,500 : 20,010.24 = 7,876 : x
  2. Step 2: Convert to fraction form
    14,500/20,010.24 = 7,876/x
  3. Step 3: Cross multiply
    14,500x = 20,010.24 × 7,876
  4. Step 4: Simplify right side
    14,500x = 157,600,650.24
  5. Step 5: Solve for x
    x = 157,600,650.24/14,500
  6. Step 6: Final answer
    x = 10,869.01

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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.