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Finding the Fourth Proportional to 20,343.98, 28,077.36 and 11,846.25

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Solution

The fourth proportional to 20,343.98, 28,077.36 and 11,846.25 is: 16,349.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,343.98 : 28,077.36 = 11,846.25 : x
  2. Step 2: Convert to fraction form
    20,343.98/28,077.36 = 11,846.25/x
  3. Step 3: Cross multiply
    20,343.98x = 28,077.36 × 11,846.25
  4. Step 4: Simplify right side
    20,343.98x = 332,611,425.90
  5. Step 5: Solve for x
    x = 332,611,425.90/20,343.98
  6. Step 6: Final answer
    x = 16,349.38

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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.