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Finding the Fourth Proportional to 12,776.33, 17,631.30 and 7,187.33

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Solution

The fourth proportional to 12,776.33, 17,631.30 and 7,187.33 is: 9,918.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,776.33 : 17,631.30 = 7,187.33 : x
  2. Step 2: Convert to fraction form
    12,776.33/17,631.30 = 7,187.33/x
  3. Step 3: Cross multiply
    12,776.33x = 17,631.30 × 7,187.33
  4. Step 4: Simplify right side
    12,776.33x = 126,721,901.24
  5. Step 5: Solve for x
    x = 126,721,901.24/12,776.33
  6. Step 6: Final answer
    x = 9,918.49

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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.