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Finding the Fourth Proportional to 25,197.33, 34,771.43 and 13,866.54

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Solution

The fourth proportional to 25,197.33, 34,771.43 and 13,866.54 is: 19,135.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,197.33 : 34,771.43 = 13,866.54 : x
  2. Step 2: Convert to fraction form
    25,197.33/34,771.43 = 13,866.54/x
  3. Step 3: Cross multiply
    25,197.33x = 34,771.43 × 13,866.54
  4. Step 4: Simplify right side
    25,197.33x = 482,159,355.62
  5. Step 5: Solve for x
    x = 482,159,355.62/25,197.33
  6. Step 6: Final answer
    x = 19,135.34

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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.