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Finding the Fourth Proportional to 27,896.40, 38,396.88 and 25,238.16

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Solution

The fourth proportional to 27,896.40, 38,396.88 and 25,238.16 is: 34,738.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,896.40 : 38,396.88 = 25,238.16 : x
  2. Step 2: Convert to fraction form
    27,896.40/38,396.88 = 25,238.16/x
  3. Step 3: Cross multiply
    27,896.40x = 38,396.88 × 25,238.16
  4. Step 4: Simplify right side
    27,896.40x = 969,066,600.94
  5. Step 5: Solve for x
    x = 969,066,600.94/27,896.40
  6. Step 6: Final answer
    x = 34,738.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.