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Finding the Fourth Proportional to 24,414, 36,620.91 and 6,883.80

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Solution

The fourth proportional to 24,414, 36,620.91 and 6,883.80 is: 10,325.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,414 : 36,620.91 = 6,883.80 : x
  2. Step 2: Convert to fraction form
    24,414/36,620.91 = 6,883.80/x
  3. Step 3: Cross multiply
    24,414x = 36,620.91 × 6,883.80
  4. Step 4: Simplify right side
    24,414x = 252,091,020.26
  5. Step 5: Solve for x
    x = 252,091,020.26/24,414
  6. Step 6: Final answer
    x = 10,325.67

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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.