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Finding the Fourth Proportional to 21,135.70, 31,680.67 and 13,745.46

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Solution

The fourth proportional to 21,135.70, 31,680.67 and 13,745.46 is: 20,603.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,135.70 : 31,680.67 = 13,745.46 : x
  2. Step 2: Convert to fraction form
    21,135.70/31,680.67 = 13,745.46/x
  3. Step 3: Cross multiply
    21,135.70x = 31,680.67 × 13,745.46
  4. Step 4: Simplify right side
    21,135.70x = 435,465,382.26
  5. Step 5: Solve for x
    x = 435,465,382.26/21,135.70
  6. Step 6: Final answer
    x = 20,603.31

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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.