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Finding the Fourth Proportional to 20,354.36, 30,535.90 and 6,314.09

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Solution

The fourth proportional to 20,354.36, 30,535.90 and 6,314.09 is: 9,472.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,354.36 : 30,535.90 = 6,314.09 : x
  2. Step 2: Convert to fraction form
    20,354.36/30,535.90 = 6,314.09/x
  3. Step 3: Cross multiply
    20,354.36x = 30,535.90 × 6,314.09
  4. Step 4: Simplify right side
    20,354.36x = 192,806,252.37
  5. Step 5: Solve for x
    x = 192,806,252.37/20,354.36
  6. Step 6: Final answer
    x = 9,472.48

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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.