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Finding the Fourth Proportional to 20,054.37, 27,677.95 and 11,554.85

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Solution

The fourth proportional to 20,054.37, 27,677.95 and 11,554.85 is: 15,947.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,054.37 : 27,677.95 = 11,554.85 : x
  2. Step 2: Convert to fraction form
    20,054.37/27,677.95 = 11,554.85/x
  3. Step 3: Cross multiply
    20,054.37x = 27,677.95 × 11,554.85
  4. Step 4: Simplify right side
    20,054.37x = 319,814,665.86
  5. Step 5: Solve for x
    x = 319,814,665.86/20,054.37
  6. Step 6: Final answer
    x = 15,947.38

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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.