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Finding the Fourth Proportional to 21,192.78, 29,245.98 and 11,761.38

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Solution

The fourth proportional to 21,192.78, 29,245.98 and 11,761.38 is: 16,230.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,192.78 : 29,245.98 = 11,761.38 : x
  2. Step 2: Convert to fraction form
    21,192.78/29,245.98 = 11,761.38/x
  3. Step 3: Cross multiply
    21,192.78x = 29,245.98 × 11,761.38
  4. Step 4: Simplify right side
    21,192.78x = 343,973,084.25
  5. Step 5: Solve for x
    x = 343,973,084.25/21,192.78
  6. Step 6: Final answer
    x = 16,230.67

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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.