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Finding the Fourth Proportional to 14,408.94, 21,613.44 and 5,642.70

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Solution

The fourth proportional to 14,408.94, 21,613.44 and 5,642.70 is: 8,464.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,408.94 : 21,613.44 = 5,642.70 : x
  2. Step 2: Convert to fraction form
    14,408.94/21,613.44 = 5,642.70/x
  3. Step 3: Cross multiply
    14,408.94x = 21,613.44 × 5,642.70
  4. Step 4: Simplify right side
    14,408.94x = 121,958,157.89
  5. Step 5: Solve for x
    x = 121,958,157.89/14,408.94
  6. Step 6: Final answer
    x = 8,464.06

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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.