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Finding the Fourth Proportional to 23,884.16, 35,828.06 and 7,245.54

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Solution

The fourth proportional to 23,884.16, 35,828.06 and 7,245.54 is: 10,868.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,884.16 : 35,828.06 = 7,245.54 : x
  2. Step 2: Convert to fraction form
    23,884.16/35,828.06 = 7,245.54/x
  3. Step 3: Cross multiply
    23,884.16x = 35,828.06 × 7,245.54
  4. Step 4: Simplify right side
    23,884.16x = 259,593,605.62
  5. Step 5: Solve for x
    x = 259,593,605.62/23,884.16
  6. Step 6: Final answer
    x = 10,868.86

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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.