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Finding the Fourth Proportional to 16,876.16, 25,323.38 and 7,022.24

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Solution

The fourth proportional to 16,876.16, 25,323.38 and 7,022.24 is: 10,537.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,876.16 : 25,323.38 = 7,022.24 : x
  2. Step 2: Convert to fraction form
    16,876.16/25,323.38 = 7,022.24/x
  3. Step 3: Cross multiply
    16,876.16x = 25,323.38 × 7,022.24
  4. Step 4: Simplify right side
    16,876.16x = 177,826,851.97
  5. Step 5: Solve for x
    x = 177,826,851.97/16,876.16
  6. Step 6: Final answer
    x = 10,537.16

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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.