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Finding the Fourth Proportional to 20,596.08, 30,898.92 and 6,744.24

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Solution

The fourth proportional to 20,596.08, 30,898.92 and 6,744.24 is: 10,117.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,596.08 : 30,898.92 = 6,744.24 : x
  2. Step 2: Convert to fraction form
    20,596.08/30,898.92 = 6,744.24/x
  3. Step 3: Cross multiply
    20,596.08x = 30,898.92 × 6,744.24
  4. Step 4: Simplify right side
    20,596.08x = 208,389,732.22
  5. Step 5: Solve for x
    x = 208,389,732.22/20,596.08
  6. Step 6: Final answer
    x = 10,117.93

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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.