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Finding the Fourth Proportional to 23,783.20, 35,674.80 and 16,784.80

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Solution

The fourth proportional to 23,783.20, 35,674.80 and 16,784.80 is: 25,177.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,783.20 : 35,674.80 = 16,784.80 : x
  2. Step 2: Convert to fraction form
    23,783.20/35,674.80 = 16,784.80/x
  3. Step 3: Cross multiply
    23,783.20x = 35,674.80 × 16,784.80
  4. Step 4: Simplify right side
    23,783.20x = 598,794,383.04
  5. Step 5: Solve for x
    x = 598,794,383.04/23,783.20
  6. Step 6: Final answer
    x = 25,177.20

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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.