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Finding the Fourth Proportional to 20,502.85, 30,755.49 and 6,463.32

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Solution

The fourth proportional to 20,502.85, 30,755.49 and 6,463.32 is: 9,695.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,502.85 : 30,755.49 = 6,463.32 : x
  2. Step 2: Convert to fraction form
    20,502.85/30,755.49 = 6,463.32/x
  3. Step 3: Cross multiply
    20,502.85x = 30,755.49 × 6,463.32
  4. Step 4: Simplify right side
    20,502.85x = 198,782,573.63
  5. Step 5: Solve for x
    x = 198,782,573.63/20,502.85
  6. Step 6: Final answer
    x = 9,695.36

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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.