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Finding the Fourth Proportional to 23,204.80, 34,807.20 and 5,674.40

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Solution

The fourth proportional to 23,204.80, 34,807.20 and 5,674.40 is: 8,511.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,204.80 : 34,807.20 = 5,674.40 : x
  2. Step 2: Convert to fraction form
    23,204.80/34,807.20 = 5,674.40/x
  3. Step 3: Cross multiply
    23,204.80x = 34,807.20 × 5,674.40
  4. Step 4: Simplify right side
    23,204.80x = 197,509,975.68
  5. Step 5: Solve for x
    x = 197,509,975.68/23,204.80
  6. Step 6: Final answer
    x = 8,511.60

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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.