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Finding the Fourth Proportional to 22,243.94, 33,379.08 and 8,213.76

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Solution

The fourth proportional to 22,243.94, 33,379.08 and 8,213.76 is: 12,325.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,243.94 : 33,379.08 = 8,213.76 : x
  2. Step 2: Convert to fraction form
    22,243.94/33,379.08 = 8,213.76/x
  3. Step 3: Cross multiply
    22,243.94x = 33,379.08 × 8,213.76
  4. Step 4: Simplify right side
    22,243.94x = 274,167,752.14
  5. Step 5: Solve for x
    x = 274,167,752.14/22,243.94
  6. Step 6: Final answer
    x = 12,325.50

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1.5x scale

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.