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Finding the Fourth Proportional to 12,853.11, 17,733.25 and 7,187.09

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Solution

The fourth proportional to 12,853.11, 17,733.25 and 7,187.09 is: 9,915.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,853.11 : 17,733.25 = 7,187.09 : x
  2. Step 2: Convert to fraction form
    12,853.11/17,733.25 = 7,187.09/x
  3. Step 3: Cross multiply
    12,853.11x = 17,733.25 × 7,187.09
  4. Step 4: Simplify right side
    12,853.11x = 127,450,504.02
  5. Step 5: Solve for x
    x = 127,450,504.02/12,853.11
  6. Step 6: Final answer
    x = 9,915.93

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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.