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Finding the Fourth Proportional to 27,673.56, 38,190.66 and 15,739

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Solution

The fourth proportional to 27,673.56, 38,190.66 and 15,739 is: 21,720.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,673.56 : 38,190.66 = 15,739 : x
  2. Step 2: Convert to fraction form
    27,673.56/38,190.66 = 15,739/x
  3. Step 3: Cross multiply
    27,673.56x = 38,190.66 × 15,739
  4. Step 4: Simplify right side
    27,673.56x = 601,082,797.74
  5. Step 5: Solve for x
    x = 601,082,797.74/27,673.56
  6. Step 6: Final answer
    x = 21,720.47

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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.