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Finding the Fourth Proportional to 24,835.71, 37,257.27 and 8,197.50

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Solution

The fourth proportional to 24,835.71, 37,257.27 and 8,197.50 is: 12,297.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,835.71 : 37,257.27 = 8,197.50 : x
  2. Step 2: Convert to fraction form
    24,835.71/37,257.27 = 8,197.50/x
  3. Step 3: Cross multiply
    24,835.71x = 37,257.27 × 8,197.50
  4. Step 4: Simplify right side
    24,835.71x = 305,416,579.80
  5. Step 5: Solve for x
    x = 305,416,579.80/24,835.71
  6. Step 6: Final answer
    x = 12,297.48

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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.