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Finding the Fourth Proportional to 30,286, 41,794.68 and 17,038

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Solution

The fourth proportional to 30,286, 41,794.68 and 17,038 is: 23,512.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,286 : 41,794.68 = 17,038 : x
  2. Step 2: Convert to fraction form
    30,286/41,794.68 = 17,038/x
  3. Step 3: Cross multiply
    30,286x = 41,794.68 × 17,038
  4. Step 4: Simplify right side
    30,286x = 712,097,757.84
  5. Step 5: Solve for x
    x = 712,097,757.84/30,286
  6. Step 6: Final answer
    x = 23,512.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.