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Finding the Fourth Proportional to 16,817.70, 23,183.07 and 13,828.35

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Solution

The fourth proportional to 16,817.70, 23,183.07 and 13,828.35 is: 19,062.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,817.70 : 23,183.07 = 13,828.35 : x
  2. Step 2: Convert to fraction form
    16,817.70/23,183.07 = 13,828.35/x
  3. Step 3: Cross multiply
    16,817.70x = 23,183.07 × 13,828.35
  4. Step 4: Simplify right side
    16,817.70x = 320,583,606.03
  5. Step 5: Solve for x
    x = 320,583,606.03/16,817.70
  6. Step 6: Final answer
    x = 19,062.27

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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.