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Finding the Fourth Proportional to 24,754.30, 37,137.21 and 8,113.30

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Solution

The fourth proportional to 24,754.30, 37,137.21 and 8,113.30 is: 12,171.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,754.30 : 37,137.21 = 8,113.30 : x
  2. Step 2: Convert to fraction form
    24,754.30/37,137.21 = 8,113.30/x
  3. Step 3: Cross multiply
    24,754.30x = 37,137.21 × 8,113.30
  4. Step 4: Simplify right side
    24,754.30x = 301,305,325.89
  5. Step 5: Solve for x
    x = 301,305,325.89/24,754.30
  6. Step 6: Final answer
    x = 12,171.84

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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.