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Finding the Fourth Proportional to 17,267.85, 23,829.60 and 9,714.19

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Solution

The fourth proportional to 17,267.85, 23,829.60 and 9,714.19 is: 13,405.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,267.85 : 23,829.60 = 9,714.19 : x
  2. Step 2: Convert to fraction form
    17,267.85/23,829.60 = 9,714.19/x
  3. Step 3: Cross multiply
    17,267.85x = 23,829.60 × 9,714.19
  4. Step 4: Simplify right side
    17,267.85x = 231,485,202.45
  5. Step 5: Solve for x
    x = 231,485,202.45/17,267.85
  6. Step 6: Final answer
    x = 13,405.56

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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.