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Finding the Fourth Proportional to 20,846.26, 31,269.39 and 7,004.98

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Solution

The fourth proportional to 20,846.26, 31,269.39 and 7,004.98 is: 10,507.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,846.26 : 31,269.39 = 7,004.98 : x
  2. Step 2: Convert to fraction form
    20,846.26/31,269.39 = 7,004.98/x
  3. Step 3: Cross multiply
    20,846.26x = 31,269.39 × 7,004.98
  4. Step 4: Simplify right side
    20,846.26x = 219,041,451.56
  5. Step 5: Solve for x
    x = 219,041,451.56/20,846.26
  6. Step 6: Final answer
    x = 10,507.47

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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.