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Finding the Fourth Proportional to 13,367.38, 18,434.36 and 9,971.89

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Solution

The fourth proportional to 13,367.38, 18,434.36 and 9,971.89 is: 13,751.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,367.38 : 18,434.36 = 9,971.89 : x
  2. Step 2: Convert to fraction form
    13,367.38/18,434.36 = 9,971.89/x
  3. Step 3: Cross multiply
    13,367.38x = 18,434.36 × 9,971.89
  4. Step 4: Simplify right side
    13,367.38x = 183,825,410.14
  5. Step 5: Solve for x
    x = 183,825,410.14/13,367.38
  6. Step 6: Final answer
    x = 13,751.79

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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.