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Finding the Fourth Proportional to 24,844.34, 37,270.21 and 8,206.13

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Solution

The fourth proportional to 24,844.34, 37,270.21 and 8,206.13 is: 12,310.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,844.34 : 37,270.21 = 8,206.13 : x
  2. Step 2: Convert to fraction form
    24,844.34/37,270.21 = 8,206.13/x
  3. Step 3: Cross multiply
    24,844.34x = 37,270.21 × 8,206.13
  4. Step 4: Simplify right side
    24,844.34x = 305,844,261.05
  5. Step 5: Solve for x
    x = 305,844,261.05/24,844.34
  6. Step 6: Final answer
    x = 12,310.42

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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.