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Finding the Fourth Proportional to 13,415.09, 18,512.90 and 8,382.23

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Solution

The fourth proportional to 13,415.09, 18,512.90 and 8,382.23 is: 11,567.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.09 : 18,512.90 = 8,382.23 : x
  2. Step 2: Convert to fraction form
    13,415.09/18,512.90 = 8,382.23/x
  3. Step 3: Cross multiply
    13,415.09x = 18,512.90 × 8,382.23
  4. Step 4: Simplify right side
    13,415.09x = 155,179,390.14
  5. Step 5: Solve for x
    x = 155,179,390.14/13,415.09
  6. Step 6: Final answer
    x = 11,567.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.