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Finding the Fourth Proportional to 17,929.82, 24,741.12 and 9,971.56

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Solution

The fourth proportional to 17,929.82, 24,741.12 and 9,971.56 is: 13,759.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,929.82 : 24,741.12 = 9,971.56 : x
  2. Step 2: Convert to fraction form
    17,929.82/24,741.12 = 9,971.56/x
  3. Step 3: Cross multiply
    17,929.82x = 24,741.12 × 9,971.56
  4. Step 4: Simplify right side
    17,929.82x = 246,707,562.55
  5. Step 5: Solve for x
    x = 246,707,562.55/17,929.82
  6. Step 6: Final answer
    x = 13,759.62

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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.