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Finding the Fourth Proportional to 27,991.62, 38,628.54 and 15,416.34

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Solution

The fourth proportional to 27,991.62, 38,628.54 and 15,416.34 is: 21,274.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,991.62 : 38,628.54 = 15,416.34 : x
  2. Step 2: Convert to fraction form
    27,991.62/38,628.54 = 15,416.34/x
  3. Step 3: Cross multiply
    27,991.62x = 38,628.54 × 15,416.34
  4. Step 4: Simplify right side
    27,991.62x = 595,510,706.34
  5. Step 5: Solve for x
    x = 595,510,706.34/27,991.62
  6. Step 6: Final answer
    x = 21,274.61

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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.