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Finding the Fourth Proportional to 12,785.40, 17,613.60 and 12,194.88

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Solution

The fourth proportional to 12,785.40, 17,613.60 and 12,194.88 is: 16,800.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,785.40 : 17,613.60 = 12,194.88 : x
  2. Step 2: Convert to fraction form
    12,785.40/17,613.60 = 12,194.88/x
  3. Step 3: Cross multiply
    12,785.40x = 17,613.60 × 12,194.88
  4. Step 4: Simplify right side
    12,785.40x = 214,795,738.37
  5. Step 5: Solve for x
    x = 214,795,738.37/12,785.40
  6. Step 6: Final answer
    x = 16,800.08

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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.