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Finding the Fourth Proportional to 14,558.39, 20,092.77 and 8,896.42

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Solution

The fourth proportional to 14,558.39, 20,092.77 and 8,896.42 is: 12,278.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,558.39 : 20,092.77 = 8,896.42 : x
  2. Step 2: Convert to fraction form
    14,558.39/20,092.77 = 8,896.42/x
  3. Step 3: Cross multiply
    14,558.39x = 20,092.77 × 8,896.42
  4. Step 4: Simplify right side
    14,558.39x = 178,753,720.88
  5. Step 5: Solve for x
    x = 178,753,720.88/14,558.39
  6. Step 6: Final answer
    x = 12,278.40

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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.