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Finding the Fourth Proportional to 27,697.16, 38,230.26 and 19,316.36

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Solution

The fourth proportional to 27,697.16, 38,230.26 and 19,316.36 is: 26,662.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,697.16 : 38,230.26 = 19,316.36 : x
  2. Step 2: Convert to fraction form
    27,697.16/38,230.26 = 19,316.36/x
  3. Step 3: Cross multiply
    27,697.16x = 38,230.26 × 19,316.36
  4. Step 4: Simplify right side
    27,697.16x = 738,469,465.05
  5. Step 5: Solve for x
    x = 738,469,465.05/27,697.16
  6. Step 6: Final answer
    x = 26,662.28

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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.