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Finding the Fourth Proportional to 19,728, 27,224.88 and 10,896

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Solution

The fourth proportional to 19,728, 27,224.88 and 10,896 is: 15,036.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,728 : 27,224.88 = 10,896 : x
  2. Step 2: Convert to fraction form
    19,728/27,224.88 = 10,896/x
  3. Step 3: Cross multiply
    19,728x = 27,224.88 × 10,896
  4. Step 4: Simplify right side
    19,728x = 296,642,292.48
  5. Step 5: Solve for x
    x = 296,642,292.48/19,728
  6. Step 6: Final answer
    x = 15,036.61

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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.