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Finding the Fourth Proportional to 18,212.52, 25,135.78 and 10,257.96

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Solution

The fourth proportional to 18,212.52, 25,135.78 and 10,257.96 is: 14,157.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,212.52 : 25,135.78 = 10,257.96 : x
  2. Step 2: Convert to fraction form
    18,212.52/25,135.78 = 10,257.96/x
  3. Step 3: Cross multiply
    18,212.52x = 25,135.78 × 10,257.96
  4. Step 4: Simplify right side
    18,212.52x = 257,841,825.81
  5. Step 5: Solve for x
    x = 257,841,825.81/18,212.52
  6. Step 6: Final answer
    x = 14,157.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.