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Finding the Fourth Proportional to 23,680, 32,682.72 and 13,744

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Solution

The fourth proportional to 23,680, 32,682.72 and 13,744 is: 18,969.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,680 : 32,682.72 = 13,744 : x
  2. Step 2: Convert to fraction form
    23,680/32,682.72 = 13,744/x
  3. Step 3: Cross multiply
    23,680x = 32,682.72 × 13,744
  4. Step 4: Simplify right side
    23,680x = 449,191,303.68
  5. Step 5: Solve for x
    x = 449,191,303.68/23,680
  6. Step 6: Final answer
    x = 18,969.23

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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.