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Finding the Fourth Proportional to 17,933.82, 24,750.05 and 9,976.64

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Solution

The fourth proportional to 17,933.82, 24,750.05 and 9,976.64 is: 13,768.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,933.82 : 24,750.05 = 9,976.64 : x
  2. Step 2: Convert to fraction form
    17,933.82/24,750.05 = 9,976.64/x
  3. Step 3: Cross multiply
    17,933.82x = 24,750.05 × 9,976.64
  4. Step 4: Simplify right side
    17,933.82x = 246,922,165.20
  5. Step 5: Solve for x
    x = 246,922,165.20/17,933.82
  6. Step 6: Final answer
    x = 13,768.52

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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.