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Finding the Fourth Proportional to 17,933.76, 24,747.84 and 9,976.32

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Solution

The fourth proportional to 17,933.76, 24,747.84 and 9,976.32 is: 13,766.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,933.76 : 24,747.84 = 9,976.32 : x
  2. Step 2: Convert to fraction form
    17,933.76/24,747.84 = 9,976.32/x
  3. Step 3: Cross multiply
    17,933.76x = 24,747.84 × 9,976.32
  4. Step 4: Simplify right side
    17,933.76x = 246,892,371.15
  5. Step 5: Solve for x
    x = 246,892,371.15/17,933.76
  6. Step 6: Final answer
    x = 13,766.91

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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.