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Finding the Fourth Proportional to 21,093.84, 31,616.16 and 11,729.37

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Solution

The fourth proportional to 21,093.84, 31,616.16 and 11,729.37 is: 17,580.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,093.84 : 31,616.16 = 11,729.37 : x
  2. Step 2: Convert to fraction form
    21,093.84/31,616.16 = 11,729.37/x
  3. Step 3: Cross multiply
    21,093.84x = 31,616.16 × 11,729.37
  4. Step 4: Simplify right side
    21,093.84x = 370,837,638.62
  5. Step 5: Solve for x
    x = 370,837,638.62/21,093.84
  6. Step 6: Final answer
    x = 17,580.38

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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.