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Finding the Fourth Proportional to 23,467.50, 32,380.11 and 13,910.40

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Solution

The fourth proportional to 23,467.50, 32,380.11 and 13,910.40 is: 19,193.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,467.50 : 32,380.11 = 13,910.40 : x
  2. Step 2: Convert to fraction form
    23,467.50/32,380.11 = 13,910.40/x
  3. Step 3: Cross multiply
    23,467.50x = 32,380.11 × 13,910.40
  4. Step 4: Simplify right side
    23,467.50x = 450,420,282.14
  5. Step 5: Solve for x
    x = 450,420,282.14/23,467.50
  6. Step 6: Final answer
    x = 19,193.36

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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.