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Finding the Fourth Proportional to 13,983.68, 20,979.20 and 6,965.76

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Solution

The fourth proportional to 13,983.68, 20,979.20 and 6,965.76 is: 10,450.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,983.68 : 20,979.20 = 6,965.76 : x
  2. Step 2: Convert to fraction form
    13,983.68/20,979.20 = 6,965.76/x
  3. Step 3: Cross multiply
    13,983.68x = 20,979.20 × 6,965.76
  4. Step 4: Simplify right side
    13,983.68x = 146,136,072.19
  5. Step 5: Solve for x
    x = 146,136,072.19/13,983.68
  6. Step 6: Final answer
    x = 10,450.47

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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.