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Finding the Fourth Proportional to 17,729.77, 24,467.01 and 9,771.97

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Solution

The fourth proportional to 17,729.77, 24,467.01 and 9,771.97 is: 13,485.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,729.77 : 24,467.01 = 9,771.97 : x
  2. Step 2: Convert to fraction form
    17,729.77/24,467.01 = 9,771.97/x
  3. Step 3: Cross multiply
    17,729.77x = 24,467.01 × 9,771.97
  4. Step 4: Simplify right side
    17,729.77x = 239,090,887.71
  5. Step 5: Solve for x
    x = 239,090,887.71/17,729.77
  6. Step 6: Final answer
    x = 13,485.28

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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.