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Finding the Fourth Proportional to 13,513.39, 18,645.19 and 7,923.31

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Solution

The fourth proportional to 13,513.39, 18,645.19 and 7,923.31 is: 10,932.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,513.39 : 18,645.19 = 7,923.31 : x
  2. Step 2: Convert to fraction form
    13,513.39/18,645.19 = 7,923.31/x
  3. Step 3: Cross multiply
    13,513.39x = 18,645.19 × 7,923.31
  4. Step 4: Simplify right side
    13,513.39x = 147,731,620.38
  5. Step 5: Solve for x
    x = 147,731,620.38/13,513.39
  6. Step 6: Final answer
    x = 10,932.24

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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.