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Finding the Fourth Proportional to 16,876.41, 25,323.76 and 7,022.49

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Solution

The fourth proportional to 16,876.41, 25,323.76 and 7,022.49 is: 10,537.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,876.41 : 25,323.76 = 7,022.49 : x
  2. Step 2: Convert to fraction form
    16,876.41/25,323.76 = 7,022.49/x
  3. Step 3: Cross multiply
    16,876.41x = 25,323.76 × 7,022.49
  4. Step 4: Simplify right side
    16,876.41x = 177,835,816.25
  5. Step 5: Solve for x
    x = 177,835,816.25/16,876.41
  6. Step 6: Final answer
    x = 10,537.54

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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.