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Finding the Fourth Proportional to 20,755.35, 31,114.53 and 7,604.64

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Solution

The fourth proportional to 20,755.35, 31,114.53 and 7,604.64 is: 11,400.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,755.35 : 31,114.53 = 7,604.64 : x
  2. Step 2: Convert to fraction form
    20,755.35/31,114.53 = 7,604.64/x
  3. Step 3: Cross multiply
    20,755.35x = 31,114.53 × 7,604.64
  4. Step 4: Simplify right side
    20,755.35x = 236,614,799.42
  5. Step 5: Solve for x
    x = 236,614,799.42/20,755.35
  6. Step 6: Final answer
    x = 11,400.18

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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.