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Finding the Fourth Proportional to 12,987.98, 17,917.81 and 8,204.63

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Solution

The fourth proportional to 12,987.98, 17,917.81 and 8,204.63 is: 11,318.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,987.98 : 17,917.81 = 8,204.63 : x
  2. Step 2: Convert to fraction form
    12,987.98/17,917.81 = 8,204.63/x
  3. Step 3: Cross multiply
    12,987.98x = 17,917.81 × 8,204.63
  4. Step 4: Simplify right side
    12,987.98x = 147,008,891.36
  5. Step 5: Solve for x
    x = 147,008,891.36/12,987.98
  6. Step 6: Final answer
    x = 11,318.84

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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.