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Finding the Fourth Proportional to 25,325.34, 34,949.08 and 14,147.34

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Solution

The fourth proportional to 25,325.34, 34,949.08 and 14,147.34 is: 19,523.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,325.34 : 34,949.08 = 14,147.34 : x
  2. Step 2: Convert to fraction form
    25,325.34/34,949.08 = 14,147.34/x
  3. Step 3: Cross multiply
    25,325.34x = 34,949.08 × 14,147.34
  4. Step 4: Simplify right side
    25,325.34x = 494,436,517.45
  5. Step 5: Solve for x
    x = 494,436,517.45/25,325.34
  6. Step 6: Final answer
    x = 19,523.39

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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.