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Finding the Fourth Proportional to 22,296.74, 30,769.38 and 12,225.60

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Solution

The fourth proportional to 22,296.74, 30,769.38 and 12,225.60 is: 16,871.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,296.74 : 30,769.38 = 12,225.60 : x
  2. Step 2: Convert to fraction form
    22,296.74/30,769.38 = 12,225.60/x
  3. Step 3: Cross multiply
    22,296.74x = 30,769.38 × 12,225.60
  4. Step 4: Simplify right side
    22,296.74x = 376,174,147.92
  5. Step 5: Solve for x
    x = 376,174,147.92/22,296.74
  6. Step 6: Final answer
    x = 16,871.26

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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.