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Finding the Fourth Proportional to 12,662.58, 17,473.64 and 8,188.68

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Solution

The fourth proportional to 12,662.58, 17,473.64 and 8,188.68 is: 11,299.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,662.58 : 17,473.64 = 8,188.68 : x
  2. Step 2: Convert to fraction form
    12,662.58/17,473.64 = 8,188.68/x
  3. Step 3: Cross multiply
    12,662.58x = 17,473.64 × 8,188.68
  4. Step 4: Simplify right side
    12,662.58x = 143,086,046.40
  5. Step 5: Solve for x
    x = 143,086,046.40/12,662.58
  6. Step 6: Final answer
    x = 11,299.91

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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.