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Finding the Fourth Proportional to 17,381.78, 23,954.70 and 12,346.22

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Solution

The fourth proportional to 17,381.78, 23,954.70 and 12,346.22 is: 17,014.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,381.78 : 23,954.70 = 12,346.22 : x
  2. Step 2: Convert to fraction form
    17,381.78/23,954.70 = 12,346.22/x
  3. Step 3: Cross multiply
    17,381.78x = 23,954.70 × 12,346.22
  4. Step 4: Simplify right side
    17,381.78x = 295,749,996.23
  5. Step 5: Solve for x
    x = 295,749,996.23/17,381.78
  6. Step 6: Final answer
    x = 17,014.94

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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.