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Finding the Fourth Proportional to 27,728.94, 38,263.10 and 15,789.80

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Solution

The fourth proportional to 27,728.94, 38,263.10 and 15,789.80 is: 21,788.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,728.94 : 38,263.10 = 15,789.80 : x
  2. Step 2: Convert to fraction form
    27,728.94/38,263.10 = 15,789.80/x
  3. Step 3: Cross multiply
    27,728.94x = 38,263.10 × 15,789.80
  4. Step 4: Simplify right side
    27,728.94x = 604,166,696.38
  5. Step 5: Solve for x
    x = 604,166,696.38/27,728.94
  6. Step 6: Final answer
    x = 21,788.31

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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.