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Finding the Fourth Proportional to 27,871.09, 38,462.11 and 16,693.09

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Solution

The fourth proportional to 27,871.09, 38,462.11 and 16,693.09 is: 23,036.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,871.09 : 38,462.11 = 16,693.09 : x
  2. Step 2: Convert to fraction form
    27,871.09/38,462.11 = 16,693.09/x
  3. Step 3: Cross multiply
    27,871.09x = 38,462.11 × 16,693.09
  4. Step 4: Simplify right side
    27,871.09x = 642,051,608.05
  5. Step 5: Solve for x
    x = 642,051,608.05/27,871.09
  6. Step 6: Final answer
    x = 23,036.47

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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.