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Finding the Fourth Proportional to 13,661.64, 18,858.33 and 9,198.12

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Solution

The fourth proportional to 13,661.64, 18,858.33 and 9,198.12 is: 12,696.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,661.64 : 18,858.33 = 9,198.12 : x
  2. Step 2: Convert to fraction form
    13,661.64/18,858.33 = 9,198.12/x
  3. Step 3: Cross multiply
    13,661.64x = 18,858.33 × 9,198.12
  4. Step 4: Simplify right side
    13,661.64x = 173,461,182.34
  5. Step 5: Solve for x
    x = 173,461,182.34/13,661.64
  6. Step 6: Final answer
    x = 12,696.95

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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.