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Finding the Fourth Proportional to 23,885.96, 35,774.33 and 11,414.79

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Solution

The fourth proportional to 23,885.96, 35,774.33 and 11,414.79 is: 17,096.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,885.96 : 35,774.33 = 11,414.79 : x
  2. Step 2: Convert to fraction form
    23,885.96/35,774.33 = 11,414.79/x
  3. Step 3: Cross multiply
    23,885.96x = 35,774.33 × 11,414.79
  4. Step 4: Simplify right side
    23,885.96x = 408,356,407.27
  5. Step 5: Solve for x
    x = 408,356,407.27/23,885.96
  6. Step 6: Final answer
    x = 17,096.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.