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Finding the Fourth Proportional to 20,928, 31,406.40 and 8,616

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Solution

The fourth proportional to 20,928, 31,406.40 and 8,616 is: 12,929.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,928 : 31,406.40 = 8,616 : x
  2. Step 2: Convert to fraction form
    20,928/31,406.40 = 8,616/x
  3. Step 3: Cross multiply
    20,928x = 31,406.40 × 8,616
  4. Step 4: Simplify right side
    20,928x = 270,597,542.40
  5. Step 5: Solve for x
    x = 270,597,542.40/20,928
  6. Step 6: Final answer
    x = 12,929.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.