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Finding the Fourth Proportional to 20,675.28, 31,004.82 and 8,980.50

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Solution

The fourth proportional to 20,675.28, 31,004.82 and 8,980.50 is: 13,467.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,675.28 : 31,004.82 = 8,980.50 : x
  2. Step 2: Convert to fraction form
    20,675.28/31,004.82 = 8,980.50/x
  3. Step 3: Cross multiply
    20,675.28x = 31,004.82 × 8,980.50
  4. Step 4: Simplify right side
    20,675.28x = 278,438,786.01
  5. Step 5: Solve for x
    x = 278,438,786.01/20,675.28
  6. Step 6: Final answer
    x = 13,467.23

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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.