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Finding the Fourth Proportional to 17,729.07, 24,465.18 and 9,769.80

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Solution

The fourth proportional to 17,729.07, 24,465.18 and 9,769.80 is: 13,481.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,729.07 : 24,465.18 = 9,769.80 : x
  2. Step 2: Convert to fraction form
    17,729.07/24,465.18 = 9,769.80/x
  3. Step 3: Cross multiply
    17,729.07x = 24,465.18 × 9,769.80
  4. Step 4: Simplify right side
    17,729.07x = 239,019,915.56
  5. Step 5: Solve for x
    x = 239,019,915.56/17,729.07
  6. Step 6: Final answer
    x = 13,481.81

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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.