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Finding the Fourth Proportional to 19,517.96, 29,280 and 6,367.30

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Solution

The fourth proportional to 19,517.96, 29,280 and 6,367.30 is: 9,551.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,517.96 : 29,280 = 6,367.30 : x
  2. Step 2: Convert to fraction form
    19,517.96/29,280 = 6,367.30/x
  3. Step 3: Cross multiply
    19,517.96x = 29,280 × 6,367.30
  4. Step 4: Simplify right side
    19,517.96x = 186,434,544
  5. Step 5: Solve for x
    x = 186,434,544/19,517.96
  6. Step 6: Final answer
    x = 9,551.95

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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.