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Finding the Fourth Proportional to 22,296.21, 30,768.75 and 12,224.43

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Solution

The fourth proportional to 22,296.21, 30,768.75 and 12,224.43 is: 16,869.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,296.21 : 30,768.75 = 12,224.43 : x
  2. Step 2: Convert to fraction form
    22,296.21/30,768.75 = 12,224.43/x
  3. Step 3: Cross multiply
    22,296.21x = 30,768.75 × 12,224.43
  4. Step 4: Simplify right side
    22,296.21x = 376,130,430.56
  5. Step 5: Solve for x
    x = 376,130,430.56/22,296.21
  6. Step 6: Final answer
    x = 16,869.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.