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Finding the Fourth Proportional to 24,847.34, 34,289.80 and 13,517.11

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Solution

The fourth proportional to 24,847.34, 34,289.80 and 13,517.11 is: 18,653.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,847.34 : 34,289.80 = 13,517.11 : x
  2. Step 2: Convert to fraction form
    24,847.34/34,289.80 = 13,517.11/x
  3. Step 3: Cross multiply
    24,847.34x = 34,289.80 × 13,517.11
  4. Step 4: Simplify right side
    24,847.34x = 463,498,998.48
  5. Step 5: Solve for x
    x = 463,498,998.48/24,847.34
  6. Step 6: Final answer
    x = 18,653.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.