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Finding the Fourth Proportional to 20,954.33, 31,427.07 and 6,159.23

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Solution

The fourth proportional to 20,954.33, 31,427.07 and 6,159.23 is: 9,237.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,954.33 : 31,427.07 = 6,159.23 : x
  2. Step 2: Convert to fraction form
    20,954.33/31,427.07 = 6,159.23/x
  3. Step 3: Cross multiply
    20,954.33x = 31,427.07 × 6,159.23
  4. Step 4: Simplify right side
    20,954.33x = 193,566,395.22
  5. Step 5: Solve for x
    x = 193,566,395.22/20,954.33
  6. Step 6: Final answer
    x = 9,237.54

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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.