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Finding the Fourth Proportional to 13,883.56, 20,816.08 and 7,646.49

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Solution

The fourth proportional to 13,883.56, 20,816.08 and 7,646.49 is: 11,464.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,883.56 : 20,816.08 = 7,646.49 : x
  2. Step 2: Convert to fraction form
    13,883.56/20,816.08 = 7,646.49/x
  3. Step 3: Cross multiply
    13,883.56x = 20,816.08 × 7,646.49
  4. Step 4: Simplify right side
    13,883.56x = 159,169,928.44
  5. Step 5: Solve for x
    x = 159,169,928.44/13,883.56
  6. Step 6: Final answer
    x = 11,464.64

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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.