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Finding the Fourth Proportional to 27,682.89, 38,201.04 and 15,582.66

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Solution

The fourth proportional to 27,682.89, 38,201.04 and 15,582.66 is: 21,503.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,682.89 : 38,201.04 = 15,582.66 : x
  2. Step 2: Convert to fraction form
    27,682.89/38,201.04 = 15,582.66/x
  3. Step 3: Cross multiply
    27,682.89x = 38,201.04 × 15,582.66
  4. Step 4: Simplify right side
    27,682.89x = 595,273,817.97
  5. Step 5: Solve for x
    x = 595,273,817.97/27,682.89
  6. Step 6: Final answer
    x = 21,503.31

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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.