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Finding the Fourth Proportional to 27,676.40, 38,194.27 and 15,741.45

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Solution

The fourth proportional to 27,676.40, 38,194.27 and 15,741.45 is: 21,723.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,676.40 : 38,194.27 = 15,741.45 : x
  2. Step 2: Convert to fraction form
    27,676.40/38,194.27 = 15,741.45/x
  3. Step 3: Cross multiply
    27,676.40x = 38,194.27 × 15,741.45
  4. Step 4: Simplify right side
    27,676.40x = 601,233,152.14
  5. Step 5: Solve for x
    x = 601,233,152.14/27,676.40
  6. Step 6: Final answer
    x = 21,723.68

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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.