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Finding the Fourth Proportional to 17,638.47, 26,436.84 and 7,757.07

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Solution

The fourth proportional to 17,638.47, 26,436.84 and 7,757.07 is: 11,626.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,638.47 : 26,436.84 = 7,757.07 : x
  2. Step 2: Convert to fraction form
    17,638.47/26,436.84 = 7,757.07/x
  3. Step 3: Cross multiply
    17,638.47x = 26,436.84 × 7,757.07
  4. Step 4: Simplify right side
    17,638.47x = 205,072,418.46
  5. Step 5: Solve for x
    x = 205,072,418.46/17,638.47
  6. Step 6: Final answer
    x = 11,626.43

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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.