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Finding the Fourth Proportional to 23,238.90, 34,847.70 and 7,440.87

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Solution

The fourth proportional to 23,238.90, 34,847.70 and 7,440.87 is: 11,157.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,238.90 : 34,847.70 = 7,440.87 : x
  2. Step 2: Convert to fraction form
    23,238.90/34,847.70 = 7,440.87/x
  3. Step 3: Cross multiply
    23,238.90x = 34,847.70 × 7,440.87
  4. Step 4: Simplify right side
    23,238.90x = 259,297,205.50
  5. Step 5: Solve for x
    x = 259,297,205.50/23,238.90
  6. Step 6: Final answer
    x = 11,157.89

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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.