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Finding the Fourth Proportional to 20,317.26, 30,477.24 and 7,837.41

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Solution

The fourth proportional to 20,317.26, 30,477.24 and 7,837.41 is: 11,756.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,317.26 : 30,477.24 = 7,837.41 : x
  2. Step 2: Convert to fraction form
    20,317.26/30,477.24 = 7,837.41/x
  3. Step 3: Cross multiply
    20,317.26x = 30,477.24 × 7,837.41
  4. Step 4: Simplify right side
    20,317.26x = 238,862,625.55
  5. Step 5: Solve for x
    x = 238,862,625.55/20,317.26
  6. Step 6: Final answer
    x = 11,756.64

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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.