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Finding the Fourth Proportional to 22,296.10, 30,764.28 and 13,219.78

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Solution

The fourth proportional to 22,296.10, 30,764.28 and 13,219.78 is: 18,240.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,296.10 : 30,764.28 = 13,219.78 : x
  2. Step 2: Convert to fraction form
    22,296.10/30,764.28 = 13,219.78/x
  3. Step 3: Cross multiply
    22,296.10x = 30,764.28 × 13,219.78
  4. Step 4: Simplify right side
    22,296.10x = 406,697,093.15
  5. Step 5: Solve for x
    x = 406,697,093.15/22,296.10
  6. Step 6: Final answer
    x = 18,240.73

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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.