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Finding the Fourth Proportional to 20,208.54, 30,312.78 and 7,729.80

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Solution

The fourth proportional to 20,208.54, 30,312.78 and 7,729.80 is: 11,594.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,208.54 : 30,312.78 = 7,729.80 : x
  2. Step 2: Convert to fraction form
    20,208.54/30,312.78 = 7,729.80/x
  3. Step 3: Cross multiply
    20,208.54x = 30,312.78 × 7,729.80
  4. Step 4: Simplify right side
    20,208.54x = 234,311,726.84
  5. Step 5: Solve for x
    x = 234,311,726.84/20,208.54
  6. Step 6: Final answer
    x = 11,594.69

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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.