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Finding the Fourth Proportional to 21,347.12, 32,022.22 and 8,199.49

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Solution

The fourth proportional to 21,347.12, 32,022.22 and 8,199.49 is: 12,299.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,347.12 : 32,022.22 = 8,199.49 : x
  2. Step 2: Convert to fraction form
    21,347.12/32,022.22 = 8,199.49/x
  3. Step 3: Cross multiply
    21,347.12x = 32,022.22 × 8,199.49
  4. Step 4: Simplify right side
    21,347.12x = 262,565,872.67
  5. Step 5: Solve for x
    x = 262,565,872.67/21,347.12
  6. Step 6: Final answer
    x = 12,299.83

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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.