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Finding the Fourth Proportional to 13,980.80, 20,956.00 and 6,966

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Solution

The fourth proportional to 13,980.80, 20,956.00 and 6,966 is: 10,441.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,980.80 : 20,956.00 = 6,966 : x
  2. Step 2: Convert to fraction form
    13,980.80/20,956.00 = 6,966/x
  3. Step 3: Cross multiply
    13,980.80x = 20,956.00 × 6,966
  4. Step 4: Simplify right side
    13,980.80x = 145,979,478.59
  5. Step 5: Solve for x
    x = 145,979,478.59/13,980.80
  6. Step 6: Final answer
    x = 10,441.42

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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.