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Finding the Fourth Proportional to 20,165.82, 27,825.30 and 13,797.60

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Solution

The fourth proportional to 20,165.82, 27,825.30 and 13,797.60 is: 19,038.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,165.82 : 27,825.30 = 13,797.60 : x
  2. Step 2: Convert to fraction form
    20,165.82/27,825.30 = 13,797.60/x
  3. Step 3: Cross multiply
    20,165.82x = 27,825.30 × 13,797.60
  4. Step 4: Simplify right side
    20,165.82x = 383,922,359.28
  5. Step 5: Solve for x
    x = 383,922,359.28/20,165.82
  6. Step 6: Final answer
    x = 19,038.27

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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.