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Finding the Fourth Proportional to 27,635.84, 38,141.44 and 15,696.80

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Solution

The fourth proportional to 27,635.84, 38,141.44 and 15,696.80 is: 21,663.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,635.84 : 38,141.44 = 15,696.80 : x
  2. Step 2: Convert to fraction form
    27,635.84/38,141.44 = 15,696.80/x
  3. Step 3: Cross multiply
    27,635.84x = 38,141.44 × 15,696.80
  4. Step 4: Simplify right side
    27,635.84x = 598,698,555.39
  5. Step 5: Solve for x
    x = 598,698,555.39/27,635.84
  6. Step 6: Final answer
    x = 21,663.85

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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.