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Finding the Fourth Proportional to 23,157.80, 34,729.50 and 8,364.80

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Solution

The fourth proportional to 23,157.80, 34,729.50 and 8,364.80 is: 12,544.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,157.80 : 34,729.50 = 8,364.80 : x
  2. Step 2: Convert to fraction form
    23,157.80/34,729.50 = 8,364.80/x
  3. Step 3: Cross multiply
    23,157.80x = 34,729.50 × 8,364.80
  4. Step 4: Simplify right side
    23,157.80x = 290,505,321.60
  5. Step 5: Solve for x
    x = 290,505,321.60/23,157.80
  6. Step 6: Final answer
    x = 12,544.60

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1.5x scale

Why These Related Problems?

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