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Finding the Fourth Proportional to 20,801.50, 31,205.36 and 7,652.86

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Solution

The fourth proportional to 20,801.50, 31,205.36 and 7,652.86 is: 11,480.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,801.50 : 31,205.36 = 7,652.86 : x
  2. Step 2: Convert to fraction form
    20,801.50/31,205.36 = 7,652.86/x
  3. Step 3: Cross multiply
    20,801.50x = 31,205.36 × 7,652.86
  4. Step 4: Simplify right side
    20,801.50x = 238,810,192.45
  5. Step 5: Solve for x
    x = 238,810,192.45/20,801.50
  6. Step 6: Final answer
    x = 11,480.43

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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.