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Finding the Fourth Proportional to 22,492.98, 33,741.09 and 6,481.86

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Solution

The fourth proportional to 22,492.98, 33,741.09 and 6,481.86 is: 9,723.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,492.98 : 33,741.09 = 6,481.86 : x
  2. Step 2: Convert to fraction form
    22,492.98/33,741.09 = 6,481.86/x
  3. Step 3: Cross multiply
    22,492.98x = 33,741.09 × 6,481.86
  4. Step 4: Simplify right side
    22,492.98x = 218,705,021.63
  5. Step 5: Solve for x
    x = 218,705,021.63/22,492.98
  6. Step 6: Final answer
    x = 9,723.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.