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Finding the Fourth Proportional to 12,524.88, 18,770.75 and 6,589.62

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Solution

The fourth proportional to 12,524.88, 18,770.75 and 6,589.62 is: 9,875.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,524.88 : 18,770.75 = 6,589.62 : x
  2. Step 2: Convert to fraction form
    12,524.88/18,770.75 = 6,589.62/x
  3. Step 3: Cross multiply
    12,524.88x = 18,770.75 × 6,589.62
  4. Step 4: Simplify right side
    12,524.88x = 123,692,076.67
  5. Step 5: Solve for x
    x = 123,692,076.67/12,524.88
  6. Step 6: Final answer
    x = 9,875.71

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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.