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Finding the Fourth Proportional to 17,204.75, 23,742.92 and 9,752.75

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Solution

The fourth proportional to 17,204.75, 23,742.92 and 9,752.75 is: 13,459.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,204.75 : 23,742.92 = 9,752.75 : x
  2. Step 2: Convert to fraction form
    17,204.75/23,742.92 = 9,752.75/x
  3. Step 3: Cross multiply
    17,204.75x = 23,742.92 × 9,752.75
  4. Step 4: Simplify right side
    17,204.75x = 231,558,763.03
  5. Step 5: Solve for x
    x = 231,558,763.03/17,204.75
  6. Step 6: Final answer
    x = 13,459.00

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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.