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Finding the Fourth Proportional to 23,813.97, 35,708.20 and 8,013.75

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Solution

The fourth proportional to 23,813.97, 35,708.20 and 8,013.75 is: 12,016.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,813.97 : 35,708.20 = 8,013.75 : x
  2. Step 2: Convert to fraction form
    23,813.97/35,708.20 = 8,013.75/x
  3. Step 3: Cross multiply
    23,813.97x = 35,708.20 × 8,013.75
  4. Step 4: Simplify right side
    23,813.97x = 286,156,657.21
  5. Step 5: Solve for x
    x = 286,156,657.21/23,813.97
  6. Step 6: Final answer
    x = 12,016.33

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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.