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Finding the Fourth Proportional to 13,693.81, 18,896.90 and 8,316.83

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Solution

The fourth proportional to 13,693.81, 18,896.90 and 8,316.83 is: 11,476.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,693.81 : 18,896.90 = 8,316.83 : x
  2. Step 2: Convert to fraction form
    13,693.81/18,896.90 = 8,316.83/x
  3. Step 3: Cross multiply
    13,693.81x = 18,896.90 × 8,316.83
  4. Step 4: Simplify right side
    13,693.81x = 157,162,204.19
  5. Step 5: Solve for x
    x = 157,162,204.19/13,693.81
  6. Step 6: Final answer
    x = 11,476.88

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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.