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Finding the Fourth Proportional to 17,140.20, 25,724.70 and 8,382.60

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Solution

The fourth proportional to 17,140.20, 25,724.70 and 8,382.60 is: 12,580.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,140.20 : 25,724.70 = 8,382.60 : x
  2. Step 2: Convert to fraction form
    17,140.20/25,724.70 = 8,382.60/x
  3. Step 3: Cross multiply
    17,140.20x = 25,724.70 × 8,382.60
  4. Step 4: Simplify right side
    17,140.20x = 215,639,870.22
  5. Step 5: Solve for x
    x = 215,639,870.22/17,140.20
  6. Step 6: Final answer
    x = 12,580.94

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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.