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Finding the Fourth Proportional to 13,662.16, 20,480.64 and 5,347.84

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Solution

The fourth proportional to 13,662.16, 20,480.64 and 5,347.84 is: 8,016.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,662.16 : 20,480.64 = 5,347.84 : x
  2. Step 2: Convert to fraction form
    13,662.16/20,480.64 = 5,347.84/x
  3. Step 3: Cross multiply
    13,662.16x = 20,480.64 × 5,347.84
  4. Step 4: Simplify right side
    13,662.16x = 109,527,185.82
  5. Step 5: Solve for x
    x = 109,527,185.82/13,662.16
  6. Step 6: Final answer
    x = 8,016.83

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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.