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Finding the Fourth Proportional to 16,976.50, 23,429.37 and 9,524.50

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Solution

The fourth proportional to 16,976.50, 23,429.37 and 9,524.50 is: 13,144.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,976.50 : 23,429.37 = 9,524.50 : x
  2. Step 2: Convert to fraction form
    16,976.50/23,429.37 = 9,524.50/x
  3. Step 3: Cross multiply
    16,976.50x = 23,429.37 × 9,524.50
  4. Step 4: Simplify right side
    16,976.50x = 223,153,034.57
  5. Step 5: Solve for x
    x = 223,153,034.57/16,976.50
  6. Step 6: Final answer
    x = 13,144.82

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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.