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Finding the Fourth Proportional to 17,261.64, 23,821.79 and 9,708.30

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Solution

The fourth proportional to 17,261.64, 23,821.79 and 9,708.30 is: 13,397.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,261.64 : 23,821.79 = 9,708.30 : x
  2. Step 2: Convert to fraction form
    17,261.64/23,821.79 = 9,708.30/x
  3. Step 3: Cross multiply
    17,261.64x = 23,821.79 × 9,708.30
  4. Step 4: Simplify right side
    17,261.64x = 231,269,035.32
  5. Step 5: Solve for x
    x = 231,269,035.32/17,261.64
  6. Step 6: Final answer
    x = 13,397.86

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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.