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Finding the Fourth Proportional to 27,138.84, 37,450.92 and 15,202.09

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Solution

The fourth proportional to 27,138.84, 37,450.92 and 15,202.09 is: 20,978.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,138.84 : 37,450.92 = 15,202.09 : x
  2. Step 2: Convert to fraction form
    27,138.84/37,450.92 = 15,202.09/x
  3. Step 3: Cross multiply
    27,138.84x = 37,450.92 × 15,202.09
  4. Step 4: Simplify right side
    27,138.84x = 569,332,256.42
  5. Step 5: Solve for x
    x = 569,332,256.42/27,138.84
  6. Step 6: Final answer
    x = 20,978.50

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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.