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Finding the Fourth Proportional to 23,930.51, 35,899.04 and 8,131.29

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Solution

The fourth proportional to 23,930.51, 35,899.04 and 8,131.29 is: 12,198.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,930.51 : 35,899.04 = 8,131.29 : x
  2. Step 2: Convert to fraction form
    23,930.51/35,899.04 = 8,131.29/x
  3. Step 3: Cross multiply
    23,930.51x = 35,899.04 × 8,131.29
  4. Step 4: Simplify right side
    23,930.51x = 291,905,659.91
  5. Step 5: Solve for x
    x = 291,905,659.91/23,930.51
  6. Step 6: Final answer
    x = 12,198.05

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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.