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Finding the Fourth Proportional to 17,678.94, 26,496.33 and 7,812.06

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Solution

The fourth proportional to 17,678.94, 26,496.33 and 7,812.06 is: 11,708.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,678.94 : 26,496.33 = 7,812.06 : x
  2. Step 2: Convert to fraction form
    17,678.94/26,496.33 = 7,812.06/x
  3. Step 3: Cross multiply
    17,678.94x = 26,496.33 × 7,812.06
  4. Step 4: Simplify right side
    17,678.94x = 206,990,919.74
  5. Step 5: Solve for x
    x = 206,990,919.74/17,678.94
  6. Step 6: Final answer
    x = 11,708.33

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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.