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Finding the Fourth Proportional to 13,980.34, 20,974.11 and 4,119.30

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Solution

The fourth proportional to 13,980.34, 20,974.11 and 4,119.30 is: 6,180.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,980.34 : 20,974.11 = 4,119.30 : x
  2. Step 2: Convert to fraction form
    13,980.34/20,974.11 = 4,119.30/x
  3. Step 3: Cross multiply
    13,980.34x = 20,974.11 × 4,119.30
  4. Step 4: Simplify right side
    13,980.34x = 86,398,651.32
  5. Step 5: Solve for x
    x = 86,398,651.32/13,980.34
  6. Step 6: Final answer
    x = 6,180.01

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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.