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Finding the Fourth Proportional to 20,093.50, 27,730.28 and 11,595.47

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Solution

The fourth proportional to 20,093.50, 27,730.28 and 11,595.47 is: 16,002.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,093.50 : 27,730.28 = 11,595.47 : x
  2. Step 2: Convert to fraction form
    20,093.50/27,730.28 = 11,595.47/x
  3. Step 3: Cross multiply
    20,093.50x = 27,730.28 × 11,595.47
  4. Step 4: Simplify right side
    20,093.50x = 321,545,571.85
  5. Step 5: Solve for x
    x = 321,545,571.85/20,093.50
  6. Step 6: Final answer
    x = 16,002.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.