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Finding the Fourth Proportional to 24,807.15, 37,202.87 and 8,163.47

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Solution

The fourth proportional to 24,807.15, 37,202.87 and 8,163.47 is: 12,242.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,807.15 : 37,202.87 = 8,163.47 : x
  2. Step 2: Convert to fraction form
    24,807.15/37,202.87 = 8,163.47/x
  3. Step 3: Cross multiply
    24,807.15x = 37,202.87 × 8,163.47
  4. Step 4: Simplify right side
    24,807.15x = 303,704,487.06
  5. Step 5: Solve for x
    x = 303,704,487.06/24,807.15
  6. Step 6: Final answer
    x = 12,242.62

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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.