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Finding the Fourth Proportional to 13,208.16, 18,227.25 and 7,619.16

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Solution

The fourth proportional to 13,208.16, 18,227.25 and 7,619.16 is: 10,514.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,208.16 : 18,227.25 = 7,619.16 : x
  2. Step 2: Convert to fraction form
    13,208.16/18,227.25 = 7,619.16/x
  3. Step 3: Cross multiply
    13,208.16x = 18,227.25 × 7,619.16
  4. Step 4: Simplify right side
    13,208.16x = 138,876,334.11
  5. Step 5: Solve for x
    x = 138,876,334.11/13,208.16
  6. Step 6: Final answer
    x = 10,514.43

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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.