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Finding the Fourth Proportional to 25,500, 35,193.30 and 14,322

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Solution

The fourth proportional to 25,500, 35,193.30 and 14,322 is: 19,766.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,500 : 35,193.30 = 14,322 : x
  2. Step 2: Convert to fraction form
    25,500/35,193.30 = 14,322/x
  3. Step 3: Cross multiply
    25,500x = 35,193.30 × 14,322
  4. Step 4: Simplify right side
    25,500x = 504,038,442.60
  5. Step 5: Solve for x
    x = 504,038,442.60/25,500
  6. Step 6: Final answer
    x = 19,766.21

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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.