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Finding the Fourth Proportional to 20,914.25, 31,369.07 and 6,123.31

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Solution

The fourth proportional to 20,914.25, 31,369.07 and 6,123.31 is: 9,184.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,914.25 : 31,369.07 = 6,123.31 : x
  2. Step 2: Convert to fraction form
    20,914.25/31,369.07 = 6,123.31/x
  3. Step 3: Cross multiply
    20,914.25x = 31,369.07 × 6,123.31
  4. Step 4: Simplify right side
    20,914.25x = 192,082,476.91
  5. Step 5: Solve for x
    x = 192,082,476.91/20,914.25
  6. Step 6: Final answer
    x = 9,184.29

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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.