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Finding the Fourth Proportional to 16,813.80, 25,223.85 and 8,494.20

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Solution

The fourth proportional to 16,813.80, 25,223.85 and 8,494.20 is: 12,742.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,813.80 : 25,223.85 = 8,494.20 : x
  2. Step 2: Convert to fraction form
    16,813.80/25,223.85 = 8,494.20/x
  3. Step 3: Cross multiply
    16,813.80x = 25,223.85 × 8,494.20
  4. Step 4: Simplify right side
    16,813.80x = 214,256,426.67
  5. Step 5: Solve for x
    x = 214,256,426.67/16,813.80
  6. Step 6: Final answer
    x = 12,742.89

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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.