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Finding the Fourth Proportional to 17,678.19, 26,513.19 and 7,812.09

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Solution

The fourth proportional to 17,678.19, 26,513.19 and 7,812.09 is: 11,716.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,678.19 : 26,513.19 = 7,812.09 : x
  2. Step 2: Convert to fraction form
    17,678.19/26,513.19 = 7,812.09/x
  3. Step 3: Cross multiply
    17,678.19x = 26,513.19 × 7,812.09
  4. Step 4: Simplify right side
    17,678.19x = 207,123,426.47
  5. Step 5: Solve for x
    x = 207,123,426.47/17,678.19
  6. Step 6: Final answer
    x = 11,716.33

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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.