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Finding the Fourth Proportional to 13,930.57, 20,895.99 and 3,542.32

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Solution

The fourth proportional to 13,930.57, 20,895.99 and 3,542.32 is: 5,313.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,930.57 : 20,895.99 = 3,542.32 : x
  2. Step 2: Convert to fraction form
    13,930.57/20,895.99 = 3,542.32/x
  3. Step 3: Cross multiply
    13,930.57x = 20,895.99 × 3,542.32
  4. Step 4: Simplify right side
    13,930.57x = 74,020,283.30
  5. Step 5: Solve for x
    x = 74,020,283.30/13,930.57
  6. Step 6: Final answer
    x = 5,313.51

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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.