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Finding the Fourth Proportional to 25,414.62, 35,072.25 and 14,084.30

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Solution

The fourth proportional to 25,414.62, 35,072.25 and 14,084.30 is: 19,436.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,414.62 : 35,072.25 = 14,084.30 : x
  2. Step 2: Convert to fraction form
    25,414.62/35,072.25 = 14,084.30/x
  3. Step 3: Cross multiply
    25,414.62x = 35,072.25 × 14,084.30
  4. Step 4: Simplify right side
    25,414.62x = 493,968,090.68
  5. Step 5: Solve for x
    x = 493,968,090.68/25,414.62
  6. Step 6: Final answer
    x = 19,436.38

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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.