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Finding the Fourth Proportional to 19,684.44, 29,493.79 and 13,830.57

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Solution

The fourth proportional to 19,684.44, 29,493.79 and 13,830.57 is: 20,722.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,684.44 : 29,493.79 = 13,830.57 : x
  2. Step 2: Convert to fraction form
    19,684.44/29,493.79 = 13,830.57/x
  3. Step 3: Cross multiply
    19,684.44x = 29,493.79 × 13,830.57
  4. Step 4: Simplify right side
    19,684.44x = 407,915,892.58
  5. Step 5: Solve for x
    x = 407,915,892.58/19,684.44
  6. Step 6: Final answer
    x = 20,722.76

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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.