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Finding the Fourth Proportional to 16,364.16, 24,550.56 and 5,976

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Solution

The fourth proportional to 16,364.16, 24,550.56 and 5,976 is: 8,965.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,364.16 : 24,550.56 = 5,976 : x
  2. Step 2: Convert to fraction form
    16,364.16/24,550.56 = 5,976/x
  3. Step 3: Cross multiply
    16,364.16x = 24,550.56 × 5,976
  4. Step 4: Simplify right side
    16,364.16x = 146,714,146.56
  5. Step 5: Solve for x
    x = 146,714,146.56/16,364.16
  6. Step 6: Final answer
    x = 8,965.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.