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Finding the Fourth Proportional to 17,740.67, 26,611.00 and 8,381.63

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Solution

The fourth proportional to 17,740.67, 26,611.00 and 8,381.63 is: 12,572.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,740.67 : 26,611.00 = 8,381.63 : x
  2. Step 2: Convert to fraction form
    17,740.67/26,611.00 = 8,381.63/x
  3. Step 3: Cross multiply
    17,740.67x = 26,611.00 × 8,381.63
  4. Step 4: Simplify right side
    17,740.67x = 223,043,524.08
  5. Step 5: Solve for x
    x = 223,043,524.08/17,740.67
  6. Step 6: Final answer
    x = 12,572.44

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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.