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Finding the Fourth Proportional to 20,965.91, 28,932.95 and 11,534.41

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Solution

The fourth proportional to 20,965.91, 28,932.95 and 11,534.41 is: 15,917.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,965.91 : 28,932.95 = 11,534.41 : x
  2. Step 2: Convert to fraction form
    20,965.91/28,932.95 = 11,534.41/x
  3. Step 3: Cross multiply
    20,965.91x = 28,932.95 × 11,534.41
  4. Step 4: Simplify right side
    20,965.91x = 333,724,305.47
  5. Step 5: Solve for x
    x = 333,724,305.47/20,965.91
  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.