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Finding the Fourth Proportional to 15,099.36, 22,643.22 and 5,734.44

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Solution

The fourth proportional to 15,099.36, 22,643.22 and 5,734.44 is: 8,599.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,099.36 : 22,643.22 = 5,734.44 : x
  2. Step 2: Convert to fraction form
    15,099.36/22,643.22 = 5,734.44/x
  3. Step 3: Cross multiply
    15,099.36x = 22,643.22 × 5,734.44
  4. Step 4: Simplify right side
    15,099.36x = 129,846,214.43
  5. Step 5: Solve for x
    x = 129,846,214.43/15,099.36
  6. Step 6: Final answer
    x = 8,599.45

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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.