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Finding the Fourth Proportional to 20,942.38, 28,892.22 and 11,985.10

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Solution

The fourth proportional to 20,942.38, 28,892.22 and 11,985.10 is: 16,534.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,942.38 : 28,892.22 = 11,985.10 : x
  2. Step 2: Convert to fraction form
    20,942.38/28,892.22 = 11,985.10/x
  3. Step 3: Cross multiply
    20,942.38x = 28,892.22 × 11,985.10
  4. Step 4: Simplify right side
    20,942.38x = 346,276,145.92
  5. Step 5: Solve for x
    x = 346,276,145.92/20,942.38
  6. Step 6: Final answer
    x = 16,534.71

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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.