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Finding the Fourth Proportional to 13,971.57, 20,957.90 and 3,583.32

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Solution

The fourth proportional to 13,971.57, 20,957.90 and 3,583.32 is: 5,375.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,971.57 : 20,957.90 = 3,583.32 : x
  2. Step 2: Convert to fraction form
    13,971.57/20,957.90 = 3,583.32/x
  3. Step 3: Cross multiply
    13,971.57x = 20,957.90 × 3,583.32
  4. Step 4: Simplify right side
    13,971.57x = 75,098,844.31
  5. Step 5: Solve for x
    x = 75,098,844.31/13,971.57
  6. Step 6: Final answer
    x = 5,375.12

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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.