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Finding the Fourth Proportional to 24,824.12, 37,242.36 and 7,293.96

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Solution

The fourth proportional to 24,824.12, 37,242.36 and 7,293.96 is: 10,942.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,824.12 : 37,242.36 = 7,293.96 : x
  2. Step 2: Convert to fraction form
    24,824.12/37,242.36 = 7,293.96/x
  3. Step 3: Cross multiply
    24,824.12x = 37,242.36 × 7,293.96
  4. Step 4: Simplify right side
    24,824.12x = 271,644,284.15
  5. Step 5: Solve for x
    x = 271,644,284.15/24,824.12
  6. Step 6: Final answer
    x = 10,942.76

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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.