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Finding the Fourth Proportional to 17,947.84, 27,083.68 and 17,296.96

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Solution

The fourth proportional to 17,947.84, 27,083.68 and 17,296.96 is: 26,101.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,947.84 : 27,083.68 = 17,296.96 : x
  2. Step 2: Convert to fraction form
    17,947.84/27,083.68 = 17,296.96/x
  3. Step 3: Cross multiply
    17,947.84x = 27,083.68 × 17,296.96
  4. Step 4: Simplify right side
    17,947.84x = 468,465,329.61
  5. Step 5: Solve for x
    x = 468,465,329.61/17,947.84
  6. Step 6: Final answer
    x = 26,101.49

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.