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Finding the Fourth Proportional to 15,274.09, 22,914.78 and 5,414.23

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Solution

The fourth proportional to 15,274.09, 22,914.78 and 5,414.23 is: 8,122.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,274.09 : 22,914.78 = 5,414.23 : x
  2. Step 2: Convert to fraction form
    15,274.09/22,914.78 = 5,414.23/x
  3. Step 3: Cross multiply
    15,274.09x = 22,914.78 × 5,414.23
  4. Step 4: Simplify right side
    15,274.09x = 124,065,889.32
  5. Step 5: Solve for x
    x = 124,065,889.32/15,274.09
  6. Step 6: Final answer
    x = 8,122.64

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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.