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Finding the Fourth Proportional to 20,219.98, 30,309.45 and 7,736.80

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Solution

The fourth proportional to 20,219.98, 30,309.45 and 7,736.80 is: 11,597.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,219.98 : 30,309.45 = 7,736.80 : x
  2. Step 2: Convert to fraction form
    20,219.98/30,309.45 = 7,736.80/x
  3. Step 3: Cross multiply
    20,219.98x = 30,309.45 × 7,736.80
  4. Step 4: Simplify right side
    20,219.98x = 234,498,152.76
  5. Step 5: Solve for x
    x = 234,498,152.76/20,219.98
  6. Step 6: Final answer
    x = 11,597.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.