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Finding the Fourth Proportional to 24,912.12, 37,355.94 and 8,266.50

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Solution

The fourth proportional to 24,912.12, 37,355.94 and 8,266.50 is: 12,395.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,912.12 : 37,355.94 = 8,266.50 : x
  2. Step 2: Convert to fraction form
    24,912.12/37,355.94 = 8,266.50/x
  3. Step 3: Cross multiply
    24,912.12x = 37,355.94 × 8,266.50
  4. Step 4: Simplify right side
    24,912.12x = 308,802,878.01
  5. Step 5: Solve for x
    x = 308,802,878.01/24,912.12
  6. Step 6: Final answer
    x = 12,395.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.