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Finding the Fourth Proportional to 20,097.24, 27,733.71 and 11,144.67

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Solution

The fourth proportional to 20,097.24, 27,733.71 and 11,144.67 is: 15,379.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,097.24 : 27,733.71 = 11,144.67 : x
  2. Step 2: Convert to fraction form
    20,097.24/27,733.71 = 11,144.67/x
  3. Step 3: Cross multiply
    20,097.24x = 27,733.71 × 11,144.67
  4. Step 4: Simplify right side
    20,097.24x = 309,083,045.83
  5. Step 5: Solve for x
    x = 309,083,045.83/20,097.24
  6. Step 6: Final answer
    x = 15,379.38

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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.