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Finding the Fourth Proportional to 20,505.49, 30,758.24 and 5,714.79

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Solution

The fourth proportional to 20,505.49, 30,758.24 and 5,714.79 is: 8,572.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,505.49 : 30,758.24 = 5,714.79 : x
  2. Step 2: Convert to fraction form
    20,505.49/30,758.24 = 5,714.79/x
  3. Step 3: Cross multiply
    20,505.49x = 30,758.24 × 5,714.79
  4. Step 4: Simplify right side
    20,505.49x = 175,776,954.33
  5. Step 5: Solve for x
    x = 175,776,954.33/20,505.49
  6. Step 6: Final answer
    x = 8,572.19

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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.