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Finding the Fourth Proportional to 20,940.82, 28,898.36 and 11,509.38

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Solution

The fourth proportional to 20,940.82, 28,898.36 and 11,509.38 is: 15,882.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,940.82 : 28,898.36 = 11,509.38 : x
  2. Step 2: Convert to fraction form
    20,940.82/28,898.36 = 11,509.38/x
  3. Step 3: Cross multiply
    20,940.82x = 28,898.36 × 11,509.38
  4. Step 4: Simplify right side
    20,940.82x = 332,602,206.62
  5. Step 5: Solve for x
    x = 332,602,206.62/20,940.82
  6. Step 6: Final answer
    x = 15,882.96

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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.