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Finding the Fourth Proportional to 23,142.76, 34,706.96 and 8,349.76

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Solution

The fourth proportional to 23,142.76, 34,706.96 and 8,349.76 is: 12,522.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,142.76 : 34,706.96 = 8,349.76 : x
  2. Step 2: Convert to fraction form
    23,142.76/34,706.96 = 8,349.76/x
  3. Step 3: Cross multiply
    23,142.76x = 34,706.96 × 8,349.76
  4. Step 4: Simplify right side
    23,142.76x = 289,794,786.33
  5. Step 5: Solve for x
    x = 289,794,786.33/23,142.76
  6. Step 6: Final answer
    x = 12,522.05

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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.