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Finding the Fourth Proportional to 14,057.32, 21,069.76 and 5,286.64

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Solution

The fourth proportional to 14,057.32, 21,069.76 and 5,286.64 is: 7,923.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,057.32 : 21,069.76 = 5,286.64 : x
  2. Step 2: Convert to fraction form
    14,057.32/21,069.76 = 5,286.64/x
  3. Step 3: Cross multiply
    14,057.32x = 21,069.76 × 5,286.64
  4. Step 4: Simplify right side
    14,057.32x = 111,388,236.01
  5. Step 5: Solve for x
    x = 111,388,236.01/14,057.32
  6. Step 6: Final answer
    x = 7,923.86

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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.