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Finding the Fourth Proportional to 20,093.61, 27,730.86 and 11,144.00

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Solution

The fourth proportional to 20,093.61, 27,730.86 and 11,144.00 is: 15,379.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,093.61 : 27,730.86 = 11,144.00 : x
  2. Step 2: Convert to fraction form
    20,093.61/27,730.86 = 11,144.00/x
  3. Step 3: Cross multiply
    20,093.61x = 27,730.86 × 11,144.00
  4. Step 4: Simplify right side
    20,093.61x = 309,032,731.38
  5. Step 5: Solve for x
    x = 309,032,731.38/20,093.61
  6. Step 6: Final answer
    x = 15,379.65

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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.