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Finding the Fourth Proportional to 12,190.16, 16,850.76 and 10,876.88

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Solution

The fourth proportional to 12,190.16, 16,850.76 and 10,876.88 is: 15,035.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,190.16 : 16,850.76 = 10,876.88 : x
  2. Step 2: Convert to fraction form
    12,190.16/16,850.76 = 10,876.88/x
  3. Step 3: Cross multiply
    12,190.16x = 16,850.76 × 10,876.88
  4. Step 4: Simplify right side
    12,190.16x = 183,283,694.43
  5. Step 5: Solve for x
    x = 183,283,694.43/12,190.16
  6. Step 6: Final answer
    x = 15,035.38

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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.