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Finding the Fourth Proportional to 17,729.86, 24,467.37 and 9,772.39

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Solution

The fourth proportional to 17,729.86, 24,467.37 and 9,772.39 is: 13,485.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,729.86 : 24,467.37 = 9,772.39 : x
  2. Step 2: Convert to fraction form
    17,729.86/24,467.37 = 9,772.39/x
  3. Step 3: Cross multiply
    17,729.86x = 24,467.37 × 9,772.39
  4. Step 4: Simplify right side
    17,729.86x = 239,104,657.39
  5. Step 5: Solve for x
    x = 239,104,657.39/17,729.86
  6. Step 6: Final answer
    x = 13,485.99

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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.