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Finding the Fourth Proportional to 24,868.35, 37,297.35 and 8,224.47

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Solution

The fourth proportional to 24,868.35, 37,297.35 and 8,224.47 is: 12,334.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,868.35 : 37,297.35 = 8,224.47 : x
  2. Step 2: Convert to fraction form
    24,868.35/37,297.35 = 8,224.47/x
  3. Step 3: Cross multiply
    24,868.35x = 37,297.35 × 8,224.47
  4. Step 4: Simplify right side
    24,868.35x = 306,750,936.15
  5. Step 5: Solve for x
    x = 306,750,936.15/24,868.35
  6. Step 6: Final answer
    x = 12,334.99

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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.