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Finding the Fourth Proportional to 27,362.14, 37,757.48 and 15,428.42

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Solution

The fourth proportional to 27,362.14, 37,757.48 and 15,428.42 is: 21,289.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,362.14 : 37,757.48 = 15,428.42 : x
  2. Step 2: Convert to fraction form
    27,362.14/37,757.48 = 15,428.42/x
  3. Step 3: Cross multiply
    27,362.14x = 37,757.48 × 15,428.42
  4. Step 4: Simplify right side
    27,362.14x = 582,538,259.58
  5. Step 5: Solve for x
    x = 582,538,259.58/27,362.14
  6. Step 6: Final answer
    x = 21,289.94

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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.