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Finding the Fourth Proportional to 22,772.40, 34,157.32 and 8,739.12

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Solution

The fourth proportional to 22,772.40, 34,157.32 and 8,739.12 is: 13,108.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,772.40 : 34,157.32 = 8,739.12 : x
  2. Step 2: Convert to fraction form
    22,772.40/34,157.32 = 8,739.12/x
  3. Step 3: Cross multiply
    22,772.40x = 34,157.32 × 8,739.12
  4. Step 4: Simplify right side
    22,772.40x = 298,504,918.36
  5. Step 5: Solve for x
    x = 298,504,918.36/22,772.40
  6. Step 6: Final answer
    x = 13,108.19

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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.