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Finding the Fourth Proportional to 23,797.80, 32,844.47 and 13,724.28

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Solution

The fourth proportional to 23,797.80, 32,844.47 and 13,724.28 is: 18,941.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,797.80 : 32,844.47 = 13,724.28 : x
  2. Step 2: Convert to fraction form
    23,797.80/32,844.47 = 13,724.28/x
  3. Step 3: Cross multiply
    23,797.80x = 32,844.47 × 13,724.28
  4. Step 4: Simplify right side
    23,797.80x = 450,766,634.11
  5. Step 5: Solve for x
    x = 450,766,634.11/23,797.80
  6. Step 6: Final answer
    x = 18,941.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.