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Finding the Fourth Proportional to 20,965.96, 28,933.57 and 11,406.44

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Solution

The fourth proportional to 20,965.96, 28,933.57 and 11,406.44 is: 15,741.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,965.96 : 28,933.57 = 11,406.44 : x
  2. Step 2: Convert to fraction form
    20,965.96/28,933.57 = 11,406.44/x
  3. Step 3: Cross multiply
    20,965.96x = 28,933.57 × 11,406.44
  4. Step 4: Simplify right side
    20,965.96x = 330,029,030.19
  5. Step 5: Solve for x
    x = 330,029,030.19/20,965.96
  6. Step 6: Final answer
    x = 15,741.18

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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.