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Finding the Fourth Proportional to 23,682.92, 32,667.80 and 14,116.36

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Solution

The fourth proportional to 23,682.92, 32,667.80 and 14,116.36 is: 19,471.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,682.92 : 32,667.80 = 14,116.36 : x
  2. Step 2: Convert to fraction form
    23,682.92/32,667.80 = 14,116.36/x
  3. Step 3: Cross multiply
    23,682.92x = 32,667.80 × 14,116.36
  4. Step 4: Simplify right side
    23,682.92x = 461,150,425.21
  5. Step 5: Solve for x
    x = 461,150,425.21/23,682.92
  6. Step 6: Final answer
    x = 19,471.86

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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.