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Finding the Fourth Proportional to 12,851.81, 17,736.57 and 7,187.03

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Solution

The fourth proportional to 12,851.81, 17,736.57 and 7,187.03 is: 9,918.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,851.81 : 17,736.57 = 7,187.03 : x
  2. Step 2: Convert to fraction form
    12,851.81/17,736.57 = 7,187.03/x
  3. Step 3: Cross multiply
    12,851.81x = 17,736.57 × 7,187.03
  4. Step 4: Simplify right side
    12,851.81x = 127,473,238.52
  5. Step 5: Solve for x
    x = 127,473,238.52/12,851.81
  6. Step 6: Final answer
    x = 9,918.70

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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.