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Finding the Fourth Proportional to 22,296.64, 30,769.71 and 12,226

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Solution

The fourth proportional to 22,296.64, 30,769.71 and 12,226 is: 16,872.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,296.64 : 30,769.71 = 12,226 : x
  2. Step 2: Convert to fraction form
    22,296.64/30,769.71 = 12,226/x
  3. Step 3: Cross multiply
    22,296.64x = 30,769.71 × 12,226
  4. Step 4: Simplify right side
    22,296.64x = 376,190,474.46
  5. Step 5: Solve for x
    x = 376,190,474.46/22,296.64
  6. Step 6: Final answer
    x = 16,872.07

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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.