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Finding the Fourth Proportional to 24,732.96, 37,099.44 and 7,204.16

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Solution

The fourth proportional to 24,732.96, 37,099.44 and 7,204.16 is: 10,806.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,732.96 : 37,099.44 = 7,204.16 : x
  2. Step 2: Convert to fraction form
    24,732.96/37,099.44 = 7,204.16/x
  3. Step 3: Cross multiply
    24,732.96x = 37,099.44 × 7,204.16
  4. Step 4: Simplify right side
    24,732.96x = 267,270,116.17
  5. Step 5: Solve for x
    x = 267,270,116.17/24,732.96
  6. Step 6: Final answer
    x = 10,806.23

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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.