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Finding the Fourth Proportional to 17,796.04, 26,657.10 and 10,378

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Solution

The fourth proportional to 17,796.04, 26,657.10 and 10,378 is: 15,545.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,796.04 : 26,657.10 = 10,378 : x
  2. Step 2: Convert to fraction form
    17,796.04/26,657.10 = 10,378/x
  3. Step 3: Cross multiply
    17,796.04x = 26,657.10 × 10,378
  4. Step 4: Simplify right side
    17,796.04x = 276,647,383.80
  5. Step 5: Solve for x
    x = 276,647,383.80/17,796.04
  6. Step 6: Final answer
    x = 15,545.45

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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.