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Finding the Fourth Proportional to 20,965.88, 28,932.91 and 11,534.24

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Solution

The fourth proportional to 20,965.88, 28,932.91 and 11,534.24 is: 15,917.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,965.88 : 28,932.91 = 11,534.24 : x
  2. Step 2: Convert to fraction form
    20,965.88/28,932.91 = 11,534.24/x
  3. Step 3: Cross multiply
    20,965.88x = 28,932.91 × 11,534.24
  4. Step 4: Simplify right side
    20,965.88x = 333,718,954.34
  5. Step 5: Solve for x
    x = 333,718,954.34/20,965.88
  6. Step 6: Final answer
    x = 15,917.24

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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.