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Finding the Fourth Proportional to 27,952.37, 38,573.94 and 20,814.21

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Solution

The fourth proportional to 27,952.37, 38,573.94 and 20,814.21 is: 28,723.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,952.37 : 38,573.94 = 20,814.21 : x
  2. Step 2: Convert to fraction form
    27,952.37/38,573.94 = 20,814.21/x
  3. Step 3: Cross multiply
    27,952.37x = 38,573.94 × 20,814.21
  4. Step 4: Simplify right side
    27,952.37x = 802,886,087.69
  5. Step 5: Solve for x
    x = 802,886,087.69/27,952.37
  6. Step 6: Final answer
    x = 28,723.36

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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.