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Finding the Fourth Proportional to 16,082.88, 22,195.08 and 10,112.28

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Solution

The fourth proportional to 16,082.88, 22,195.08 and 10,112.28 is: 13,955.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,082.88 : 22,195.08 = 10,112.28 : x
  2. Step 2: Convert to fraction form
    16,082.88/22,195.08 = 10,112.28/x
  3. Step 3: Cross multiply
    16,082.88x = 22,195.08 × 10,112.28
  4. Step 4: Simplify right side
    16,082.88x = 224,442,863.58
  5. Step 5: Solve for x
    x = 224,442,863.58/16,082.88
  6. Step 6: Final answer
    x = 13,955.39

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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.