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Finding the Fourth Proportional to 17,972.20, 26,949.09 and 9,659.22

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Solution

The fourth proportional to 17,972.20, 26,949.09 and 9,659.22 is: 14,483.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,972.20 : 26,949.09 = 9,659.22 : x
  2. Step 2: Convert to fraction form
    17,972.20/26,949.09 = 9,659.22/x
  3. Step 3: Cross multiply
    17,972.20x = 26,949.09 × 9,659.22
  4. Step 4: Simplify right side
    17,972.20x = 260,307,189.11
  5. Step 5: Solve for x
    x = 260,307,189.11/17,972.20
  6. Step 6: Final answer
    x = 14,483.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.