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Finding the Fourth Proportional to 14,183.94, 19,579.89 and 10,098.38

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Solution

The fourth proportional to 14,183.94, 19,579.89 and 10,098.38 is: 13,940.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,183.94 : 19,579.89 = 10,098.38 : x
  2. Step 2: Convert to fraction form
    14,183.94/19,579.89 = 10,098.38/x
  3. Step 3: Cross multiply
    14,183.94x = 19,579.89 × 10,098.38
  4. Step 4: Simplify right side
    14,183.94x = 197,725,071.68
  5. Step 5: Solve for x
    x = 197,725,071.68/14,183.94
  6. Step 6: Final answer
    x = 13,940.07

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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.