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Finding the Fourth Proportional to 20,193.50, 30,295.12 and 6,342.50

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Solution

The fourth proportional to 20,193.50, 30,295.12 and 6,342.50 is: 9,515.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,193.50 : 30,295.12 = 6,342.50 : x
  2. Step 2: Convert to fraction form
    20,193.50/30,295.12 = 6,342.50/x
  3. Step 3: Cross multiply
    20,193.50x = 30,295.12 × 6,342.50
  4. Step 4: Simplify right side
    20,193.50x = 192,146,798.60
  5. Step 5: Solve for x
    x = 192,146,798.60/20,193.50
  6. Step 6: Final answer
    x = 9,515.28

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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.