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Finding the Fourth Proportional to 22,296.14, 30,769.02 and 12,225.50

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Solution

The fourth proportional to 22,296.14, 30,769.02 and 12,225.50 is: 16,871.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,296.14 : 30,769.02 = 12,225.50 : x
  2. Step 2: Convert to fraction form
    22,296.14/30,769.02 = 12,225.50/x
  3. Step 3: Cross multiply
    22,296.14x = 30,769.02 × 12,225.50
  4. Step 4: Simplify right side
    22,296.14x = 376,166,654.01
  5. Step 5: Solve for x
    x = 376,166,654.01/22,296.14
  6. Step 6: Final answer
    x = 16,871.38

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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.