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Finding the Fourth Proportional to 27,450, 37,876.32 and 15,512.40

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Solution

The fourth proportional to 27,450, 37,876.32 and 15,512.40 is: 21,404.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,450 : 37,876.32 = 15,512.40 : x
  2. Step 2: Convert to fraction form
    27,450/37,876.32 = 15,512.40/x
  3. Step 3: Cross multiply
    27,450x = 37,876.32 × 15,512.40
  4. Step 4: Simplify right side
    27,450x = 587,552,626.37
  5. Step 5: Solve for x
    x = 587,552,626.37/27,450
  6. Step 6: Final answer
    x = 21,404.47

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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.