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Finding the Fourth Proportional to 20,965.50, 28,932.84 and 11,534.09

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Solution

The fourth proportional to 20,965.50, 28,932.84 and 11,534.09 is: 15,917.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,965.50 : 28,932.84 = 11,534.09 : x
  2. Step 2: Convert to fraction form
    20,965.50/28,932.84 = 11,534.09/x
  3. Step 3: Cross multiply
    20,965.50x = 28,932.84 × 11,534.09
  4. Step 4: Simplify right side
    20,965.50x = 333,713,835.85
  5. Step 5: Solve for x
    x = 333,713,835.85/20,965.50
  6. Step 6: Final answer
    x = 15,917.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.