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Finding the Fourth Proportional to 20,336.08, 30,505.20 and 6,484

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Solution

The fourth proportional to 20,336.08, 30,505.20 and 6,484 is: 9,726.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,336.08 : 30,505.20 = 6,484 : x
  2. Step 2: Convert to fraction form
    20,336.08/30,505.20 = 6,484/x
  3. Step 3: Cross multiply
    20,336.08x = 30,505.20 × 6,484
  4. Step 4: Simplify right side
    20,336.08x = 197,795,716.80
  5. Step 5: Solve for x
    x = 197,795,716.80/20,336.08
  6. Step 6: Final answer
    x = 9,726.34

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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.