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Finding the Fourth Proportional to 16,814.15, 23,206.30 and 12,827.73

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Solution

The fourth proportional to 16,814.15, 23,206.30 and 12,827.73 is: 17,704.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,814.15 : 23,206.30 = 12,827.73 : x
  2. Step 2: Convert to fraction form
    16,814.15/23,206.30 = 12,827.73/x
  3. Step 3: Cross multiply
    16,814.15x = 23,206.30 × 12,827.73
  4. Step 4: Simplify right side
    16,814.15x = 297,684,150.70
  5. Step 5: Solve for x
    x = 297,684,150.70/16,814.15
  6. Step 6: Final answer
    x = 17,704.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.