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Finding the Fourth Proportional to 24,728.98, 37,099.59 and 7,198.96

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Solution

The fourth proportional to 24,728.98, 37,099.59 and 7,198.96 is: 10,800.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,728.98 : 37,099.59 = 7,198.96 : x
  2. Step 2: Convert to fraction form
    24,728.98/37,099.59 = 7,198.96/x
  3. Step 3: Cross multiply
    24,728.98x = 37,099.59 × 7,198.96
  4. Step 4: Simplify right side
    24,728.98x = 267,078,464.43
  5. Step 5: Solve for x
    x = 267,078,464.43/24,728.98
  6. Step 6: Final answer
    x = 10,800.22

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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.