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Finding the Fourth Proportional to 13,693.24, 18,896.86 and 8,026.62

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Solution

The fourth proportional to 13,693.24, 18,896.86 and 8,026.62 is: 11,076.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,693.24 : 18,896.86 = 8,026.62 : x
  2. Step 2: Convert to fraction form
    13,693.24/18,896.86 = 8,026.62/x
  3. Step 3: Cross multiply
    13,693.24x = 18,896.86 × 8,026.62
  4. Step 4: Simplify right side
    13,693.24x = 151,677,914.41
  5. Step 5: Solve for x
    x = 151,677,914.41/13,693.24
  6. Step 6: Final answer
    x = 11,076.85

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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.