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Finding the Fourth Proportional to 19,892.24, 27,454.80 and 11,394.80

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Solution

The fourth proportional to 19,892.24, 27,454.80 and 11,394.80 is: 15,726.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,892.24 : 27,454.80 = 11,394.80 : x
  2. Step 2: Convert to fraction form
    19,892.24/27,454.80 = 11,394.80/x
  3. Step 3: Cross multiply
    19,892.24x = 27,454.80 × 11,394.80
  4. Step 4: Simplify right side
    19,892.24x = 312,841,955.04
  5. Step 5: Solve for x
    x = 312,841,955.04/19,892.24
  6. Step 6: Final answer
    x = 15,726.83

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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.