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Finding the Fourth Proportional to 23,800.51, 35,676.01 and 7,993.81

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Solution

The fourth proportional to 23,800.51, 35,676.01 and 7,993.81 is: 11,982.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,800.51 : 35,676.01 = 7,993.81 : x
  2. Step 2: Convert to fraction form
    23,800.51/35,676.01 = 7,993.81/x
  3. Step 3: Cross multiply
    23,800.51x = 35,676.01 × 7,993.81
  4. Step 4: Simplify right side
    23,800.51x = 285,187,245.50
  5. Step 5: Solve for x
    x = 285,187,245.50/23,800.51
  6. Step 6: Final answer
    x = 11,982.40

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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.