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Finding the Fourth Proportional to 22,080.72, 30,497.94 and 16,102.92

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Solution

The fourth proportional to 22,080.72, 30,497.94 and 16,102.92 is: 22,241.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,080.72 : 30,497.94 = 16,102.92 : x
  2. Step 2: Convert to fraction form
    22,080.72/30,497.94 = 16,102.92/x
  3. Step 3: Cross multiply
    22,080.72x = 30,497.94 × 16,102.92
  4. Step 4: Simplify right side
    22,080.72x = 491,105,887.98
  5. Step 5: Solve for x
    x = 491,105,887.98/22,080.72
  6. Step 6: Final answer
    x = 22,241.39

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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.