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Finding the Fourth Proportional to 25,084.90, 34,618.72 and 13,906.90

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Solution

The fourth proportional to 25,084.90, 34,618.72 and 13,906.90 is: 19,192.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,084.90 : 34,618.72 = 13,906.90 : x
  2. Step 2: Convert to fraction form
    25,084.90/34,618.72 = 13,906.90/x
  3. Step 3: Cross multiply
    25,084.90x = 34,618.72 × 13,906.90
  4. Step 4: Simplify right side
    25,084.90x = 481,439,007.63
  5. Step 5: Solve for x
    x = 481,439,007.63/25,084.90
  6. Step 6: Final answer
    x = 19,192.38

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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.