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Finding the Fourth Proportional to 12,606.70, 18,914.10 and 8,451.40

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Solution

The fourth proportional to 12,606.70, 18,914.10 and 8,451.40 is: 12,679.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,606.70 : 18,914.10 = 8,451.40 : x
  2. Step 2: Convert to fraction form
    12,606.70/18,914.10 = 8,451.40/x
  3. Step 3: Cross multiply
    12,606.70x = 18,914.10 × 8,451.40
  4. Step 4: Simplify right side
    12,606.70x = 159,850,624.74
  5. Step 5: Solve for x
    x = 159,850,624.74/12,606.70
  6. Step 6: Final answer
    x = 12,679.82

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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.