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Finding the Fourth Proportional to 17,970.17, 26,954.33 and 6,876

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Solution

The fourth proportional to 17,970.17, 26,954.33 and 6,876 is: 10,313.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,970.17 : 26,954.33 = 6,876 : x
  2. Step 2: Convert to fraction form
    17,970.17/26,954.33 = 6,876/x
  3. Step 3: Cross multiply
    17,970.17x = 26,954.33 × 6,876
  4. Step 4: Simplify right side
    17,970.17x = 185,337,938.70
  5. Step 5: Solve for x
    x = 185,337,938.70/17,970.17
  6. Step 6: Final answer
    x = 10,313.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.