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Finding the Fourth Proportional to 13,618.31, 20,422.19 and 5,297.20

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Solution

The fourth proportional to 13,618.31, 20,422.19 and 5,297.20 is: 7,943.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,618.31 : 20,422.19 = 5,297.20 : x
  2. Step 2: Convert to fraction form
    13,618.31/20,422.19 = 5,297.20/x
  3. Step 3: Cross multiply
    13,618.31x = 20,422.19 × 5,297.20
  4. Step 4: Simplify right side
    13,618.31x = 108,180,387.06
  5. Step 5: Solve for x
    x = 108,180,387.06/13,618.31
  6. Step 6: Final answer
    x = 7,943.75

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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.