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Finding the Fourth Proportional to 18,208.33, 27,316.24 and 7,678.38

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Solution

The fourth proportional to 18,208.33, 27,316.24 and 7,678.38 is: 11,519.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,208.33 : 27,316.24 = 7,678.38 : x
  2. Step 2: Convert to fraction form
    18,208.33/27,316.24 = 7,678.38/x
  3. Step 3: Cross multiply
    18,208.33x = 27,316.24 × 7,678.38
  4. Step 4: Simplify right side
    18,208.33x = 209,744,470.89
  5. Step 5: Solve for x
    x = 209,744,470.89/18,208.33
  6. Step 6: Final answer
    x = 11,519.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.