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Finding the Fourth Proportional to 29,667.71, 40,942.56 and 16,922.96

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Solution

The fourth proportional to 29,667.71, 40,942.56 and 16,922.96 is: 23,354.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,667.71 : 40,942.56 = 16,922.96 : x
  2. Step 2: Convert to fraction form
    29,667.71/40,942.56 = 16,922.96/x
  3. Step 3: Cross multiply
    29,667.71x = 40,942.56 × 16,922.96
  4. Step 4: Simplify right side
    29,667.71x = 692,869,418.79
  5. Step 5: Solve for x
    x = 692,869,418.79/29,667.71
  6. Step 6: Final answer
    x = 23,354.33

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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.