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Finding the Fourth Proportional to 20,907.78, 28,853.83 and 11,957.07

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Solution

The fourth proportional to 20,907.78, 28,853.83 and 11,957.07 is: 16,501.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,907.78 : 28,853.83 = 11,957.07 : x
  2. Step 2: Convert to fraction form
    20,907.78/28,853.83 = 11,957.07/x
  3. Step 3: Cross multiply
    20,907.78x = 28,853.83 × 11,957.07
  4. Step 4: Simplify right side
    20,907.78x = 345,007,265.08
  5. Step 5: Solve for x
    x = 345,007,265.08/20,907.78
  6. Step 6: Final answer
    x = 16,501.38

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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.