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Finding the Fourth Proportional to 27,693.64, 38,211.51 and 16,357.39

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Solution

The fourth proportional to 27,693.64, 38,211.51 and 16,357.39 is: 22,569.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,693.64 : 38,211.51 = 16,357.39 : x
  2. Step 2: Convert to fraction form
    27,693.64/38,211.51 = 16,357.39/x
  3. Step 3: Cross multiply
    27,693.64x = 38,211.51 × 16,357.39
  4. Step 4: Simplify right side
    27,693.64x = 625,040,571.56
  5. Step 5: Solve for x
    x = 625,040,571.56/27,693.64
  6. Step 6: Final answer
    x = 22,569.82

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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.