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Finding the Fourth Proportional to 17,640, 26,460 and 7,912

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Solution

The fourth proportional to 17,640, 26,460 and 7,912 is: 11,868

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,640 : 26,460 = 7,912 : x
  2. Step 2: Convert to fraction form
    17,640/26,460 = 7,912/x
  3. Step 3: Cross multiply
    17,640x = 26,460 × 7,912
  4. Step 4: Simplify right side
    17,640x = 209,351,520
  5. Step 5: Solve for x
    x = 209,351,520/17,640
  6. Step 6: Final answer
    x = 11,868

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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.