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Finding the Fourth Proportional to 14,771.64, 20,385.24 and 8,057.38

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Solution

The fourth proportional to 14,771.64, 20,385.24 and 8,057.38 is: 11,119.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,771.64 : 20,385.24 = 8,057.38 : x
  2. Step 2: Convert to fraction form
    14,771.64/20,385.24 = 8,057.38/x
  3. Step 3: Cross multiply
    14,771.64x = 20,385.24 × 8,057.38
  4. Step 4: Simplify right side
    14,771.64x = 164,251,523.15
  5. Step 5: Solve for x
    x = 164,251,523.15/14,771.64
  6. Step 6: Final answer
    x = 11,119.39

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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.