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Finding the Fourth Proportional to 20,755.48, 31,135.12 and 8,272.48

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Solution

The fourth proportional to 20,755.48, 31,135.12 and 8,272.48 is: 12,409.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,755.48 : 31,135.12 = 8,272.48 : x
  2. Step 2: Convert to fraction form
    20,755.48/31,135.12 = 8,272.48/x
  3. Step 3: Cross multiply
    20,755.48x = 31,135.12 × 8,272.48
  4. Step 4: Simplify right side
    20,755.48x = 257,564,657.50
  5. Step 5: Solve for x
    x = 257,564,657.50/20,755.48
  6. Step 6: Final answer
    x = 12,409.48

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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.