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Finding the Fourth Proportional to 27,833.90, 38,367.15 and 21,092.54

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Solution

The fourth proportional to 27,833.90, 38,367.15 and 21,092.54 is: 29,074.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,833.90 : 38,367.15 = 21,092.54 : x
  2. Step 2: Convert to fraction form
    27,833.90/38,367.15 = 21,092.54/x
  3. Step 3: Cross multiply
    27,833.90x = 38,367.15 × 21,092.54
  4. Step 4: Simplify right side
    27,833.90x = 809,260,646.06
  5. Step 5: Solve for x
    x = 809,260,646.06/27,833.90
  6. Step 6: Final answer
    x = 29,074.64

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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.