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Finding the Fourth Proportional to 14,008.20, 20,993.64 and 5,234.28

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Solution

The fourth proportional to 14,008.20, 20,993.64 and 5,234.28 is: 7,844.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,008.20 : 20,993.64 = 5,234.28 : x
  2. Step 2: Convert to fraction form
    14,008.20/20,993.64 = 5,234.28/x
  3. Step 3: Cross multiply
    14,008.20x = 20,993.64 × 5,234.28
  4. Step 4: Simplify right side
    14,008.20x = 109,886,589.98
  5. Step 5: Solve for x
    x = 109,886,589.98/14,008.20
  6. Step 6: Final answer
    x = 7,844.45

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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.