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Finding the Fourth Proportional to 14,711.86, 20,302.77 and 7,997.94

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Solution

The fourth proportional to 14,711.86, 20,302.77 and 7,997.94 is: 11,037.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,711.86 : 20,302.77 = 7,997.94 : x
  2. Step 2: Convert to fraction form
    14,711.86/20,302.77 = 7,997.94/x
  3. Step 3: Cross multiply
    14,711.86x = 20,302.77 × 7,997.94
  4. Step 4: Simplify right side
    14,711.86x = 162,380,336.29
  5. Step 5: Solve for x
    x = 162,380,336.29/14,711.86
  6. Step 6: Final answer
    x = 11,037.38

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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.