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Finding the Fourth Proportional to 20,322.96, 28,043.10 and 11,827.83

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Solution

The fourth proportional to 20,322.96, 28,043.10 and 11,827.83 is: 16,320.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,322.96 : 28,043.10 = 11,827.83 : x
  2. Step 2: Convert to fraction form
    20,322.96/28,043.10 = 11,827.83/x
  3. Step 3: Cross multiply
    20,322.96x = 28,043.10 × 11,827.83
  4. Step 4: Simplify right side
    20,322.96x = 331,689,019.47
  5. Step 5: Solve for x
    x = 331,689,019.47/20,322.96
  6. Step 6: Final answer
    x = 16,320.90

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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.