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Finding the Fourth Proportional to 23,802.36, 35,703 and 8,218.52

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Solution

The fourth proportional to 23,802.36, 35,703 and 8,218.52 is: 12,327.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,802.36 : 35,703 = 8,218.52 : x
  2. Step 2: Convert to fraction form
    23,802.36/35,703 = 8,218.52/x
  3. Step 3: Cross multiply
    23,802.36x = 35,703 × 8,218.52
  4. Step 4: Simplify right side
    23,802.36x = 293,425,819.56
  5. Step 5: Solve for x
    x = 293,425,819.56/23,802.36
  6. Step 6: Final answer
    x = 12,327.59

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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.