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Finding the Fourth Proportional to 14,379, 19,843.02 and 8,091.42

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Solution

The fourth proportional to 14,379, 19,843.02 and 8,091.42 is: 11,166.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,379 : 19,843.02 = 8,091.42 : x
  2. Step 2: Convert to fraction form
    14,379/19,843.02 = 8,091.42/x
  3. Step 3: Cross multiply
    14,379x = 19,843.02 × 8,091.42
  4. Step 4: Simplify right side
    14,379x = 160,558,208.89
  5. Step 5: Solve for x
    x = 160,558,208.89/14,379
  6. Step 6: Final answer
    x = 11,166.16

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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.