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Finding the Fourth Proportional to 13,651.96, 18,840.31 and 7,684.01

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Solution

The fourth proportional to 13,651.96, 18,840.31 and 7,684.01 is: 10,604.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,651.96 : 18,840.31 = 7,684.01 : x
  2. Step 2: Convert to fraction form
    13,651.96/18,840.31 = 7,684.01/x
  3. Step 3: Cross multiply
    13,651.96x = 18,840.31 × 7,684.01
  4. Step 4: Simplify right side
    13,651.96x = 144,769,158.33
  5. Step 5: Solve for x
    x = 144,769,158.33/13,651.96
  6. Step 6: Final answer
    x = 10,604.28

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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.