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Finding the Fourth Proportional to 13,671.38, 18,866.51 and 7,383.75

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Solution

The fourth proportional to 13,671.38, 18,866.51 and 7,383.75 is: 10,189.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,671.38 : 18,866.51 = 7,383.75 : x
  2. Step 2: Convert to fraction form
    13,671.38/18,866.51 = 7,383.75/x
  3. Step 3: Cross multiply
    13,671.38x = 18,866.51 × 7,383.75
  4. Step 4: Simplify right side
    13,671.38x = 139,305,556.29
  5. Step 5: Solve for x
    x = 139,305,556.29/13,671.38
  6. Step 6: Final answer
    x = 10,189.58

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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.