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Finding the Fourth Proportional to 17,770.09, 24,524.16 and 10,218.87

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Solution

The fourth proportional to 17,770.09, 24,524.16 and 10,218.87 is: 14,102.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,770.09 : 24,524.16 = 10,218.87 : x
  2. Step 2: Convert to fraction form
    17,770.09/24,524.16 = 10,218.87/x
  3. Step 3: Cross multiply
    17,770.09x = 24,524.16 × 10,218.87
  4. Step 4: Simplify right side
    17,770.09x = 250,609,202.90
  5. Step 5: Solve for x
    x = 250,609,202.90/17,770.09
  6. Step 6: Final answer
    x = 14,102.87

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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.