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Finding the Fourth Proportional to 20,704.18, 28,575.49 and 12,205.80

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Solution

The fourth proportional to 20,704.18, 28,575.49 and 12,205.80 is: 16,846.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,704.18 : 28,575.49 = 12,205.80 : x
  2. Step 2: Convert to fraction form
    20,704.18/28,575.49 = 12,205.80/x
  3. Step 3: Cross multiply
    20,704.18x = 28,575.49 × 12,205.80
  4. Step 4: Simplify right side
    20,704.18x = 348,786,715.84
  5. Step 5: Solve for x
    x = 348,786,715.84/20,704.18
  6. Step 6: Final answer
    x = 16,846.20

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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.