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Finding the Fourth Proportional to 27,661.40, 38,175 and 15,728.48

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Solution

The fourth proportional to 27,661.40, 38,175 and 15,728.48 is: 21,706.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,661.40 : 38,175 = 15,728.48 : x
  2. Step 2: Convert to fraction form
    27,661.40/38,175 = 15,728.48/x
  3. Step 3: Cross multiply
    27,661.40x = 38,175 × 15,728.48
  4. Step 4: Simplify right side
    27,661.40x = 600,434,724
  5. Step 5: Solve for x
    x = 600,434,724/27,661.40
  6. Step 6: Final answer
    x = 21,706.59

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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.