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Finding the Fourth Proportional to 20,797.33, 31,177.36 and 7,640.50

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Solution

The fourth proportional to 20,797.33, 31,177.36 and 7,640.50 is: 11,453.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,797.33 : 31,177.36 = 7,640.50 : x
  2. Step 2: Convert to fraction form
    20,797.33/31,177.36 = 7,640.50/x
  3. Step 3: Cross multiply
    20,797.33x = 31,177.36 × 7,640.50
  4. Step 4: Simplify right side
    20,797.33x = 238,210,619.08
  5. Step 5: Solve for x
    x = 238,210,619.08/20,797.33
  6. Step 6: Final answer
    x = 11,453.90

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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.