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Finding the Fourth Proportional to 23,645.67, 35,469.50 and 7,852.11

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Solution

The fourth proportional to 23,645.67, 35,469.50 and 7,852.11 is: 11,778.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,645.67 : 35,469.50 = 7,852.11 : x
  2. Step 2: Convert to fraction form
    23,645.67/35,469.50 = 7,852.11/x
  3. Step 3: Cross multiply
    23,645.67x = 35,469.50 × 7,852.11
  4. Step 4: Simplify right side
    23,645.67x = 278,510,376.38
  5. Step 5: Solve for x
    x = 278,510,376.38/23,645.67
  6. Step 6: Final answer
    x = 11,778.49

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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.