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Finding the Fourth Proportional to 13,983.52, 20,970 and 4,120

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Solution

The fourth proportional to 13,983.52, 20,970 and 4,120 is: 6,178.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,983.52 : 20,970 = 4,120 : x
  2. Step 2: Convert to fraction form
    13,983.52/20,970 = 4,120/x
  3. Step 3: Cross multiply
    13,983.52x = 20,970 × 4,120
  4. Step 4: Simplify right side
    13,983.52x = 86,396,400
  5. Step 5: Solve for x
    x = 86,396,400/13,983.52
  6. Step 6: Final answer
    x = 6,178.44

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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.