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Finding the Fourth Proportional to 17,382.84, 26,047.44 and 11,738.40

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Solution

The fourth proportional to 17,382.84, 26,047.44 and 11,738.40 is: 17,589.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,382.84 : 26,047.44 = 11,738.40 : x
  2. Step 2: Convert to fraction form
    17,382.84/26,047.44 = 11,738.40/x
  3. Step 3: Cross multiply
    17,382.84x = 26,047.44 × 11,738.40
  4. Step 4: Simplify right side
    17,382.84x = 305,755,269.70
  5. Step 5: Solve for x
    x = 305,755,269.70/17,382.84
  6. Step 6: Final answer
    x = 17,589.49

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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.