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Finding the Fourth Proportional to 21,093.39, 31,640.37 and 5,511

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Solution

The fourth proportional to 21,093.39, 31,640.37 and 5,511 is: 8,266.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,093.39 : 31,640.37 = 5,511 : x
  2. Step 2: Convert to fraction form
    21,093.39/31,640.37 = 5,511/x
  3. Step 3: Cross multiply
    21,093.39x = 31,640.37 × 5,511
  4. Step 4: Simplify right side
    21,093.39x = 174,370,079.07
  5. Step 5: Solve for x
    x = 174,370,079.07/21,093.39
  6. Step 6: Final answer
    x = 8,266.57

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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.