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Finding the Fourth Proportional to 13,208, 18,227.86 and 7,619

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Solution

The fourth proportional to 13,208, 18,227.86 and 7,619 is: 10,514.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,208 : 18,227.86 = 7,619 : x
  2. Step 2: Convert to fraction form
    13,208/18,227.86 = 7,619/x
  3. Step 3: Cross multiply
    13,208x = 18,227.86 × 7,619
  4. Step 4: Simplify right side
    13,208x = 138,878,065.34
  5. Step 5: Solve for x
    x = 138,878,065.34/13,208
  6. Step 6: Final answer
    x = 10,514.69

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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.