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Finding the Fourth Proportional to 20,965.50, 28,932.39 and 11,534.40

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Solution

The fourth proportional to 20,965.50, 28,932.39 and 11,534.40 is: 15,917.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,965.50 : 28,932.39 = 11,534.40 : x
  2. Step 2: Convert to fraction form
    20,965.50/28,932.39 = 11,534.40/x
  3. Step 3: Cross multiply
    20,965.50x = 28,932.39 × 11,534.40
  4. Step 4: Simplify right side
    20,965.50x = 333,717,759.22
  5. Step 5: Solve for x
    x = 333,717,759.22/20,965.50
  6. Step 6: Final answer
    x = 15,917.47

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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.