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Finding the Fourth Proportional to 27,829.06, 38,408.03 and 17,222.11

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Solution

The fourth proportional to 27,829.06, 38,408.03 and 17,222.11 is: 23,768.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,829.06 : 38,408.03 = 17,222.11 : x
  2. Step 2: Convert to fraction form
    27,829.06/38,408.03 = 17,222.11/x
  3. Step 3: Cross multiply
    27,829.06x = 38,408.03 × 17,222.11
  4. Step 4: Simplify right side
    27,829.06x = 661,467,168.56
  5. Step 5: Solve for x
    x = 661,467,168.56/27,829.06
  6. Step 6: Final answer
    x = 23,768.94

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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.