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Finding the Fourth Proportional to 12,245.38, 16,900.02 and 8,274.61

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Solution

The fourth proportional to 12,245.38, 16,900.02 and 8,274.61 is: 11,419.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,245.38 : 16,900.02 = 8,274.61 : x
  2. Step 2: Convert to fraction form
    12,245.38/16,900.02 = 8,274.61/x
  3. Step 3: Cross multiply
    12,245.38x = 16,900.02 × 8,274.61
  4. Step 4: Simplify right side
    12,245.38x = 139,840,977.28
  5. Step 5: Solve for x
    x = 139,840,977.28/12,245.38
  6. Step 6: Final answer
    x = 11,419.90

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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.