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Finding the Fourth Proportional to 27,677.37, 38,185.65 and 15,736.35

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Solution

The fourth proportional to 27,677.37, 38,185.65 and 15,736.35 is: 21,710.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,677.37 : 38,185.65 = 15,736.35 : x
  2. Step 2: Convert to fraction form
    27,677.37/38,185.65 = 15,736.35/x
  3. Step 3: Cross multiply
    27,677.37x = 38,185.65 × 15,736.35
  4. Step 4: Simplify right side
    27,677.37x = 600,902,753.38
  5. Step 5: Solve for x
    x = 600,902,753.38/27,677.37
  6. Step 6: Final answer
    x = 21,710.98

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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.