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Finding the Fourth Proportional to 22,480.76, 33,704.50 and 10,782.84

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Solution

The fourth proportional to 22,480.76, 33,704.50 and 10,782.84 is: 16,166.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,480.76 : 33,704.50 = 10,782.84 : x
  2. Step 2: Convert to fraction form
    22,480.76/33,704.50 = 10,782.84/x
  3. Step 3: Cross multiply
    22,480.76x = 33,704.50 × 10,782.84
  4. Step 4: Simplify right side
    22,480.76x = 363,430,230.78
  5. Step 5: Solve for x
    x = 363,430,230.78/22,480.76
  6. Step 6: Final answer
    x = 16,166.28

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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.