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Finding the Fourth Proportional to 17,933.68, 24,748.56 and 9,976

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Solution

The fourth proportional to 17,933.68, 24,748.56 and 9,976 is: 13,766.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,933.68 : 24,748.56 = 9,976 : x
  2. Step 2: Convert to fraction form
    17,933.68/24,748.56 = 9,976/x
  3. Step 3: Cross multiply
    17,933.68x = 24,748.56 × 9,976
  4. Step 4: Simplify right side
    17,933.68x = 246,891,634.56
  5. Step 5: Solve for x
    x = 246,891,634.56/17,933.68
  6. Step 6: Final answer
    x = 13,766.93

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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.