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Finding the Fourth Proportional to 14,431.98, 21,656.01 and 5,667.42

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Solution

The fourth proportional to 14,431.98, 21,656.01 and 5,667.42 is: 8,504.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,431.98 : 21,656.01 = 5,667.42 : x
  2. Step 2: Convert to fraction form
    14,431.98/21,656.01 = 5,667.42/x
  3. Step 3: Cross multiply
    14,431.98x = 21,656.01 × 5,667.42
  4. Step 4: Simplify right side
    14,431.98x = 122,733,704.19
  5. Step 5: Solve for x
    x = 122,733,704.19/14,431.98
  6. Step 6: Final answer
    x = 8,504.29

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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.