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Finding the Fourth Proportional to 20,896.98, 31,352.01 and 6,106.24

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Solution

The fourth proportional to 20,896.98, 31,352.01 and 6,106.24 is: 9,161.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,896.98 : 31,352.01 = 6,106.24 : x
  2. Step 2: Convert to fraction form
    20,896.98/31,352.01 = 6,106.24/x
  3. Step 3: Cross multiply
    20,896.98x = 31,352.01 × 6,106.24
  4. Step 4: Simplify right side
    20,896.98x = 191,442,897.54
  5. Step 5: Solve for x
    x = 191,442,897.54/20,896.98
  6. Step 6: Final answer
    x = 9,161.27

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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.