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Finding the Fourth Proportional to 23,816.80, 35,715.60 and 8,226.40

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Solution

The fourth proportional to 23,816.80, 35,715.60 and 8,226.40 is: 12,336.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,816.80 : 35,715.60 = 8,226.40 : x
  2. Step 2: Convert to fraction form
    23,816.80/35,715.60 = 8,226.40/x
  3. Step 3: Cross multiply
    23,816.80x = 35,715.60 × 8,226.40
  4. Step 4: Simplify right side
    23,816.80x = 293,810,811.84
  5. Step 5: Solve for x
    x = 293,810,811.84/23,816.80
  6. Step 6: Final answer
    x = 12,336.28

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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.