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Finding the Fourth Proportional to 23,311.64, 34,936.30 and 8,506.64

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Solution

The fourth proportional to 23,311.64, 34,936.30 and 8,506.64 is: 12,748.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,311.64 : 34,936.30 = 8,506.64 : x
  2. Step 2: Convert to fraction form
    23,311.64/34,936.30 = 8,506.64/x
  3. Step 3: Cross multiply
    23,311.64x = 34,936.30 × 8,506.64
  4. Step 4: Simplify right side
    23,311.64x = 297,190,527.03
  5. Step 5: Solve for x
    x = 297,190,527.03/23,311.64
  6. Step 6: Final answer
    x = 12,748.59

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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.