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Finding the Fourth Proportional to 17,976.84, 24,791.36 and 12,319.80

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Solution

The fourth proportional to 17,976.84, 24,791.36 and 12,319.80 is: 16,989.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,976.84 : 24,791.36 = 12,319.80 : x
  2. Step 2: Convert to fraction form
    17,976.84/24,791.36 = 12,319.80/x
  3. Step 3: Cross multiply
    17,976.84x = 24,791.36 × 12,319.80
  4. Step 4: Simplify right side
    17,976.84x = 305,424,596.93
  5. Step 5: Solve for x
    x = 305,424,596.93/17,976.84
  6. Step 6: Final answer
    x = 16,989.89

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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.