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Finding the Fourth Proportional to 20,228.87, 30,343.31 and 7,085.00

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Solution

The fourth proportional to 20,228.87, 30,343.31 and 7,085.00 is: 10,627.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,228.87 : 30,343.31 = 7,085.00 : x
  2. Step 2: Convert to fraction form
    20,228.87/30,343.31 = 7,085.00/x
  3. Step 3: Cross multiply
    20,228.87x = 30,343.31 × 7,085.00
  4. Step 4: Simplify right side
    20,228.87x = 214,982,418.35
  5. Step 5: Solve for x
    x = 214,982,418.35/20,228.87
  6. Step 6: Final answer
    x = 10,627.50

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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.