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Finding the Fourth Proportional to 20,857.55, 28,780.74 and 11,902.68

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Solution

The fourth proportional to 20,857.55, 28,780.74 and 11,902.68 is: 16,424.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,857.55 : 28,780.74 = 11,902.68 : x
  2. Step 2: Convert to fraction form
    20,857.55/28,780.74 = 11,902.68/x
  3. Step 3: Cross multiply
    20,857.55x = 28,780.74 × 11,902.68
  4. Step 4: Simplify right side
    20,857.55x = 342,567,938.38
  5. Step 5: Solve for x
    x = 342,567,938.38/20,857.55
  6. Step 6: Final answer
    x = 16,424.17

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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.