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Finding the Fourth Proportional to 25,286, 34,894.68 and 14,108

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Solution

The fourth proportional to 25,286, 34,894.68 and 14,108 is: 19,469.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,286 : 34,894.68 = 14,108 : x
  2. Step 2: Convert to fraction form
    25,286/34,894.68 = 14,108/x
  3. Step 3: Cross multiply
    25,286x = 34,894.68 × 14,108
  4. Step 4: Simplify right side
    25,286x = 492,294,145.44
  5. Step 5: Solve for x
    x = 492,294,145.44/25,286
  6. Step 6: Final answer
    x = 19,469.04

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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.