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Finding the Fourth Proportional to 19,805.50, 27,332.13 and 11,422.54

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Solution

The fourth proportional to 19,805.50, 27,332.13 and 11,422.54 is: 15,763.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,805.50 : 27,332.13 = 11,422.54 : x
  2. Step 2: Convert to fraction form
    19,805.50/27,332.13 = 11,422.54/x
  3. Step 3: Cross multiply
    19,805.50x = 27,332.13 × 11,422.54
  4. Step 4: Simplify right side
    19,805.50x = 312,202,348.21
  5. Step 5: Solve for x
    x = 312,202,348.21/19,805.50
  6. Step 6: Final answer
    x = 15,763.42

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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.