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Finding the Fourth Proportional to 17,284.56, 25,880.67 and 9,878.82

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Solution

The fourth proportional to 17,284.56, 25,880.67 and 9,878.82 is: 14,791.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,284.56 : 25,880.67 = 9,878.82 : x
  2. Step 2: Convert to fraction form
    17,284.56/25,880.67 = 9,878.82/x
  3. Step 3: Cross multiply
    17,284.56x = 25,880.67 × 9,878.82
  4. Step 4: Simplify right side
    17,284.56x = 255,670,480.41
  5. Step 5: Solve for x
    x = 255,670,480.41/17,284.56
  6. Step 6: Final answer
    x = 14,791.84

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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.