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Finding the Fourth Proportional to 21,832, 30,128.16 and 11,896

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Solution

The fourth proportional to 21,832, 30,128.16 and 11,896 is: 16,416.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,832 : 30,128.16 = 11,896 : x
  2. Step 2: Convert to fraction form
    21,832/30,128.16 = 11,896/x
  3. Step 3: Cross multiply
    21,832x = 30,128.16 × 11,896
  4. Step 4: Simplify right side
    21,832x = 358,404,591.36
  5. Step 5: Solve for x
    x = 358,404,591.36/21,832
  6. Step 6: Final answer
    x = 16,416.48

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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.