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Finding the Fourth Proportional to 17,922.31, 24,732.89 and 9,965.28

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Solution

The fourth proportional to 17,922.31, 24,732.89 and 9,965.28 is: 13,752.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,922.31 : 24,732.89 = 9,965.28 : x
  2. Step 2: Convert to fraction form
    17,922.31/24,732.89 = 9,965.28/x
  3. Step 3: Cross multiply
    17,922.31x = 24,732.89 × 9,965.28
  4. Step 4: Simplify right side
    17,922.31x = 246,470,174.06
  5. Step 5: Solve for x
    x = 246,470,174.06/17,922.31
  6. Step 6: Final answer
    x = 13,752.14

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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.