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Finding the Fourth Proportional to 20,932.38, 28,885.20 and 11,855.16

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Solution

The fourth proportional to 20,932.38, 28,885.20 and 11,855.16 is: 16,359.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,932.38 : 28,885.20 = 11,855.16 : x
  2. Step 2: Convert to fraction form
    20,932.38/28,885.20 = 11,855.16/x
  3. Step 3: Cross multiply
    20,932.38x = 28,885.20 × 11,855.16
  4. Step 4: Simplify right side
    20,932.38x = 342,438,667.63
  5. Step 5: Solve for x
    x = 342,438,667.63/20,932.38
  6. Step 6: Final answer
    x = 16,359.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.