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Finding the Fourth Proportional to 18,575.22, 25,634.13 and 10,191.78

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Solution

The fourth proportional to 18,575.22, 25,634.13 and 10,191.78 is: 14,064.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,575.22 : 25,634.13 = 10,191.78 : x
  2. Step 2: Convert to fraction form
    18,575.22/25,634.13 = 10,191.78/x
  3. Step 3: Cross multiply
    18,575.22x = 25,634.13 × 10,191.78
  4. Step 4: Simplify right side
    18,575.22x = 261,257,413.45
  5. Step 5: Solve for x
    x = 261,257,413.45/18,575.22
  6. Step 6: Final answer
    x = 14,064.84

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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.