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Finding the Fourth Proportional to 18,834.50, 25,991.88 and 10,451

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Solution

The fourth proportional to 18,834.50, 25,991.88 and 10,451 is: 14,422.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,834.50 : 25,991.88 = 10,451 : x
  2. Step 2: Convert to fraction form
    18,834.50/25,991.88 = 10,451/x
  3. Step 3: Cross multiply
    18,834.50x = 25,991.88 × 10,451
  4. Step 4: Simplify right side
    18,834.50x = 271,641,137.88
  5. Step 5: Solve for x
    x = 271,641,137.88/18,834.50
  6. Step 6: Final answer
    x = 14,422.53

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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.