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Finding the Fourth Proportional to 21,847.82, 32,771.79 and 14,450.90

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Solution

The fourth proportional to 21,847.82, 32,771.79 and 14,450.90 is: 21,676.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,847.82 : 32,771.79 = 14,450.90 : x
  2. Step 2: Convert to fraction form
    21,847.82/32,771.79 = 14,450.90/x
  3. Step 3: Cross multiply
    21,847.82x = 32,771.79 × 14,450.90
  4. Step 4: Simplify right side
    21,847.82x = 473,581,860.11
  5. Step 5: Solve for x
    x = 473,581,860.11/21,847.82
  6. Step 6: Final answer
    x = 21,676.39

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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.