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Finding the Fourth Proportional to 17,229.64, 23,777.76 and 9,675.58

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Solution

The fourth proportional to 17,229.64, 23,777.76 and 9,675.58 is: 13,352.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,229.64 : 23,777.76 = 9,675.58 : x
  2. Step 2: Convert to fraction form
    17,229.64/23,777.76 = 9,675.58/x
  3. Step 3: Cross multiply
    17,229.64x = 23,777.76 × 9,675.58
  4. Step 4: Simplify right side
    17,229.64x = 230,063,619.10
  5. Step 5: Solve for x
    x = 230,063,619.10/17,229.64
  6. Step 6: Final answer
    x = 13,352.78

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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.