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Finding the Fourth Proportional to 13,816.80, 20,735.52 and 5,384.64

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Solution

The fourth proportional to 13,816.80, 20,735.52 and 5,384.64 is: 8,080.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816.80 : 20,735.52 = 5,384.64 : x
  2. Step 2: Convert to fraction form
    13,816.80/20,735.52 = 5,384.64/x
  3. Step 3: Cross multiply
    13,816.80x = 20,735.52 × 5,384.64
  4. Step 4: Simplify right side
    13,816.80x = 111,653,310.41
  5. Step 5: Solve for x
    x = 111,653,310.41/13,816.80
  6. Step 6: Final answer
    x = 8,080.98

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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.