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Finding the Fourth Proportional to 22,524.86, 33,763.84 and 8,475.24

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Solution

The fourth proportional to 22,524.86, 33,763.84 and 8,475.24 is: 12,704.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,524.86 : 33,763.84 = 8,475.24 : x
  2. Step 2: Convert to fraction form
    22,524.86/33,763.84 = 8,475.24/x
  3. Step 3: Cross multiply
    22,524.86x = 33,763.84 × 8,475.24
  4. Step 4: Simplify right side
    22,524.86x = 286,156,647.32
  5. Step 5: Solve for x
    x = 286,156,647.32/22,524.86
  6. Step 6: Final answer
    x = 12,704.04

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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.