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Finding the Fourth Proportional to 23,813.79, 35,711.56 and 11,324.19

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Solution

The fourth proportional to 23,813.79, 35,711.56 and 11,324.19 is: 16,981.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,813.79 : 35,711.56 = 11,324.19 : x
  2. Step 2: Convert to fraction form
    23,813.79/35,711.56 = 11,324.19/x
  3. Step 3: Cross multiply
    23,813.79x = 35,711.56 × 11,324.19
  4. Step 4: Simplify right side
    23,813.79x = 404,404,490.64
  5. Step 5: Solve for x
    x = 404,404,490.64/23,813.79
  6. Step 6: Final answer
    x = 16,981.95

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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.