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Finding the Fourth Proportional to 20,142.76, 27,795.49 and 11,189.50

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Solution

The fourth proportional to 20,142.76, 27,795.49 and 11,189.50 is: 15,440.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142.76 : 27,795.49 = 11,189.50 : x
  2. Step 2: Convert to fraction form
    20,142.76/27,795.49 = 11,189.50/x
  3. Step 3: Cross multiply
    20,142.76x = 27,795.49 × 11,189.50
  4. Step 4: Simplify right side
    20,142.76x = 311,017,607.38
  5. Step 5: Solve for x
    x = 311,017,607.38/20,142.76
  6. Step 6: Final answer
    x = 15,440.66

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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.