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Finding the Fourth Proportional to 20,930.96, 31,399.48 and 7,075.28

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Solution

The fourth proportional to 20,930.96, 31,399.48 and 7,075.28 is: 10,613.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,930.96 : 31,399.48 = 7,075.28 : x
  2. Step 2: Convert to fraction form
    20,930.96/31,399.48 = 7,075.28/x
  3. Step 3: Cross multiply
    20,930.96x = 31,399.48 × 7,075.28
  4. Step 4: Simplify right side
    20,930.96x = 222,160,112.85
  5. Step 5: Solve for x
    x = 222,160,112.85/20,930.96
  6. Step 6: Final answer
    x = 10,613.95

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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.