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Finding the Fourth Proportional to 27,258.56, 40,896.48 and 9,728

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Solution

The fourth proportional to 27,258.56, 40,896.48 and 9,728 is: 14,595.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,258.56 : 40,896.48 = 9,728 : x
  2. Step 2: Convert to fraction form
    27,258.56/40,896.48 = 9,728/x
  3. Step 3: Cross multiply
    27,258.56x = 40,896.48 × 9,728
  4. Step 4: Simplify right side
    27,258.56x = 397,840,957.44
  5. Step 5: Solve for x
    x = 397,840,957.44/27,258.56
  6. Step 6: Final answer
    x = 14,595.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.