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Finding the Fourth Proportional to 24,906.47, 37,361.93 and 8,266.66

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Solution

The fourth proportional to 24,906.47, 37,361.93 and 8,266.66 is: 12,400.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,906.47 : 37,361.93 = 8,266.66 : x
  2. Step 2: Convert to fraction form
    24,906.47/37,361.93 = 8,266.66/x
  3. Step 3: Cross multiply
    24,906.47x = 37,361.93 × 8,266.66
  4. Step 4: Simplify right side
    24,906.47x = 308,858,237.52
  5. Step 5: Solve for x
    x = 308,858,237.52/24,906.47
  6. Step 6: Final answer
    x = 12,400.72

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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.