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Finding the Fourth Proportional to 27,828.68, 38,407.52 and 17,221.73

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Solution

The fourth proportional to 27,828.68, 38,407.52 and 17,221.73 is: 23,768.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,828.68 : 38,407.52 = 17,221.73 : x
  2. Step 2: Convert to fraction form
    27,828.68/38,407.52 = 17,221.73/x
  3. Step 3: Cross multiply
    27,828.68x = 38,407.52 × 17,221.73
  4. Step 4: Simplify right side
    27,828.68x = 661,443,853.30
  5. Step 5: Solve for x
    x = 661,443,853.30/27,828.68
  6. Step 6: Final answer
    x = 23,768.42

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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.