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Finding the Fourth Proportional to 12,245.40, 16,874.46 and 8,698.68

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Solution

The fourth proportional to 12,245.40, 16,874.46 and 8,698.68 is: 11,986.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,245.40 : 16,874.46 = 8,698.68 : x
  2. Step 2: Convert to fraction form
    12,245.40/16,874.46 = 8,698.68/x
  3. Step 3: Cross multiply
    12,245.40x = 16,874.46 × 8,698.68
  4. Step 4: Simplify right side
    12,245.40x = 146,785,527.71
  5. Step 5: Solve for x
    x = 146,785,527.71/12,245.40
  6. Step 6: Final answer
    x = 11,986.99

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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.