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Finding the Fourth Proportional to 12,884.31, 17,774.04 and 8,110.17

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Solution

The fourth proportional to 12,884.31, 17,774.04 and 8,110.17 is: 11,188.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.31 : 17,774.04 = 8,110.17 : x
  2. Step 2: Convert to fraction form
    12,884.31/17,774.04 = 8,110.17/x
  3. Step 3: Cross multiply
    12,884.31x = 17,774.04 × 8,110.17
  4. Step 4: Simplify right side
    12,884.31x = 144,150,485.99
  5. Step 5: Solve for x
    x = 144,150,485.99/12,884.31
  6. Step 6: Final answer
    x = 11,188.06

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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.