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Finding the Fourth Proportional to 22,227.85, 30,674.82 and 13,276.15

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Solution

The fourth proportional to 22,227.85, 30,674.82 and 13,276.15 is: 18,321.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,227.85 : 30,674.82 = 13,276.15 : x
  2. Step 2: Convert to fraction form
    22,227.85/30,674.82 = 13,276.15/x
  3. Step 3: Cross multiply
    22,227.85x = 30,674.82 × 13,276.15
  4. Step 4: Simplify right side
    22,227.85x = 407,243,511.54
  5. Step 5: Solve for x
    x = 407,243,511.54/22,227.85
  6. Step 6: Final answer
    x = 18,321.32

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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.