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Finding the Fourth Proportional to 11,800.74, 17,705.89 and 11,614.19

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Solution

The fourth proportional to 11,800.74, 17,705.89 and 11,614.19 is: 17,425.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.74 : 17,705.89 = 11,614.19 : x
  2. Step 2: Convert to fraction form
    11,800.74/17,705.89 = 11,614.19/x
  3. Step 3: Cross multiply
    11,800.74x = 17,705.89 × 11,614.19
  4. Step 4: Simplify right side
    11,800.74x = 205,639,496.57
  5. Step 5: Solve for x
    x = 205,639,496.57/11,800.74
  6. Step 6: Final answer
    x = 17,425.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.