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Finding the Fourth Proportional to 12,817.08, 17,677.62 and 8,099.64

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Solution

The fourth proportional to 12,817.08, 17,677.62 and 8,099.64 is: 11,171.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,817.08 : 17,677.62 = 8,099.64 : x
  2. Step 2: Convert to fraction form
    12,817.08/17,677.62 = 8,099.64/x
  3. Step 3: Cross multiply
    12,817.08x = 17,677.62 × 8,099.64
  4. Step 4: Simplify right side
    12,817.08x = 143,182,358.06
  5. Step 5: Solve for x
    x = 143,182,358.06/12,817.08
  6. Step 6: Final answer
    x = 11,171.22

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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.