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Finding the Fourth Proportional to 17,339.16, 25,976.10 and 8,563.80

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Solution

The fourth proportional to 17,339.16, 25,976.10 and 8,563.80 is: 12,829.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,339.16 : 25,976.10 = 8,563.80 : x
  2. Step 2: Convert to fraction form
    17,339.16/25,976.10 = 8,563.80/x
  3. Step 3: Cross multiply
    17,339.16x = 25,976.10 × 8,563.80
  4. Step 4: Simplify right side
    17,339.16x = 222,454,125.18
  5. Step 5: Solve for x
    x = 222,454,125.18/17,339.16
  6. Step 6: Final answer
    x = 12,829.58

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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.