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Finding the Fourth Proportional to 24,960.21, 37,427.79 and 8,314.44

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Solution

The fourth proportional to 24,960.21, 37,427.79 and 8,314.44 is: 12,467.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,960.21 : 37,427.79 = 8,314.44 : x
  2. Step 2: Convert to fraction form
    24,960.21/37,427.79 = 8,314.44/x
  3. Step 3: Cross multiply
    24,960.21x = 37,427.79 × 8,314.44
  4. Step 4: Simplify right side
    24,960.21x = 311,191,114.29
  5. Step 5: Solve for x
    x = 311,191,114.29/24,960.21
  6. Step 6: Final answer
    x = 12,467.49

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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.