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Finding the Fourth Proportional to 17,489.40, 26,224.48 and 11,949

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Solution

The fourth proportional to 17,489.40, 26,224.48 and 11,949 is: 17,916.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,489.40 : 26,224.48 = 11,949 : x
  2. Step 2: Convert to fraction form
    17,489.40/26,224.48 = 11,949/x
  3. Step 3: Cross multiply
    17,489.40x = 26,224.48 × 11,949
  4. Step 4: Simplify right side
    17,489.40x = 313,356,281.65
  5. Step 5: Solve for x
    x = 313,356,281.65/17,489.40
  6. Step 6: Final answer
    x = 17,916.93

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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.