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Finding the Fourth Proportional to 22,396.14, 33,601.23 and 9,254.70

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Solution

The fourth proportional to 22,396.14, 33,601.23 and 9,254.70 is: 13,884.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,396.14 : 33,601.23 = 9,254.70 : x
  2. Step 2: Convert to fraction form
    22,396.14/33,601.23 = 9,254.70/x
  3. Step 3: Cross multiply
    22,396.14x = 33,601.23 × 9,254.70
  4. Step 4: Simplify right side
    22,396.14x = 310,969,303.28
  5. Step 5: Solve for x
    x = 310,969,303.28/22,396.14
  6. Step 6: Final answer
    x = 13,884.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.