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Finding the Fourth Proportional to 27,832.54, 38,407.47 and 15,893.54

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Solution

The fourth proportional to 27,832.54, 38,407.47 and 15,893.54 is: 21,932.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,832.54 : 38,407.47 = 15,893.54 : x
  2. Step 2: Convert to fraction form
    27,832.54/38,407.47 = 15,893.54/x
  3. Step 3: Cross multiply
    27,832.54x = 38,407.47 × 15,893.54
  4. Step 4: Simplify right side
    27,832.54x = 610,430,660.74
  5. Step 5: Solve for x
    x = 610,430,660.74/27,832.54
  6. Step 6: Final answer
    x = 21,932.27

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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.