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Finding the Fourth Proportional to 20,687.90, 31,032.03 and 5,896.80

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Solution

The fourth proportional to 20,687.90, 31,032.03 and 5,896.80 is: 8,845.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,687.90 : 31,032.03 = 5,896.80 : x
  2. Step 2: Convert to fraction form
    20,687.90/31,032.03 = 5,896.80/x
  3. Step 3: Cross multiply
    20,687.90x = 31,032.03 × 5,896.80
  4. Step 4: Simplify right side
    20,687.90x = 182,989,674.50
  5. Step 5: Solve for x
    x = 182,989,674.50/20,687.90
  6. Step 6: Final answer
    x = 8,845.25

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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.