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Finding the Fourth Proportional to 23,722.80, 35,584.20 and 13,225.20

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Solution

The fourth proportional to 23,722.80, 35,584.20 and 13,225.20 is: 19,837.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,722.80 : 35,584.20 = 13,225.20 : x
  2. Step 2: Convert to fraction form
    23,722.80/35,584.20 = 13,225.20/x
  3. Step 3: Cross multiply
    23,722.80x = 35,584.20 × 13,225.20
  4. Step 4: Simplify right side
    23,722.80x = 470,608,161.84
  5. Step 5: Solve for x
    x = 470,608,161.84/23,722.80
  6. Step 6: Final answer
    x = 19,837.80

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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.