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Finding the Fourth Proportional to 21,928.50, 30,262.05 and 11,992.50

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Solution

The fourth proportional to 21,928.50, 30,262.05 and 11,992.50 is: 16,550.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,928.50 : 30,262.05 = 11,992.50 : x
  2. Step 2: Convert to fraction form
    21,928.50/30,262.05 = 11,992.50/x
  3. Step 3: Cross multiply
    21,928.50x = 30,262.05 × 11,992.50
  4. Step 4: Simplify right side
    21,928.50x = 362,917,634.63
  5. Step 5: Solve for x
    x = 362,917,634.63/21,928.50
  6. Step 6: Final answer
    x = 16,550.04

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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.