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Finding the Fourth Proportional to 14,408.64, 19,891.44 and 10,226.88

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Solution

The fourth proportional to 14,408.64, 19,891.44 and 10,226.88 is: 14,118.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,408.64 : 19,891.44 = 10,226.88 : x
  2. Step 2: Convert to fraction form
    14,408.64/19,891.44 = 10,226.88/x
  3. Step 3: Cross multiply
    14,408.64x = 19,891.44 × 10,226.88
  4. Step 4: Simplify right side
    14,408.64x = 203,427,369.91
  5. Step 5: Solve for x
    x = 203,427,369.91/14,408.64
  6. Step 6: Final answer
    x = 14,118.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.