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Finding the Fourth Proportional to 19,825.28, 27,354.75 and 13,456.80

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Solution

The fourth proportional to 19,825.28, 27,354.75 and 13,456.80 is: 18,567.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,825.28 : 27,354.75 = 13,456.80 : x
  2. Step 2: Convert to fraction form
    19,825.28/27,354.75 = 13,456.80/x
  3. Step 3: Cross multiply
    19,825.28x = 27,354.75 × 13,456.80
  4. Step 4: Simplify right side
    19,825.28x = 368,107,399.80
  5. Step 5: Solve for x
    x = 368,107,399.80/19,825.28
  6. Step 6: Final answer
    x = 18,567.58

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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.