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Finding the Fourth Proportional to 17,890.14, 26,842.81 and 9,568

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Solution

The fourth proportional to 17,890.14, 26,842.81 and 9,568 is: 14,356.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,890.14 : 26,842.81 = 9,568 : x
  2. Step 2: Convert to fraction form
    17,890.14/26,842.81 = 9,568/x
  3. Step 3: Cross multiply
    17,890.14x = 26,842.81 × 9,568
  4. Step 4: Simplify right side
    17,890.14x = 256,832,006.08
  5. Step 5: Solve for x
    x = 256,832,006.08/17,890.14
  6. Step 6: Final answer
    x = 14,356.06

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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.