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Finding the Fourth Proportional to 22,682.04, 33,976.98 and 11,715

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Solution

The fourth proportional to 22,682.04, 33,976.98 and 11,715 is: 17,548.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,682.04 : 33,976.98 = 11,715 : x
  2. Step 2: Convert to fraction form
    22,682.04/33,976.98 = 11,715/x
  3. Step 3: Cross multiply
    22,682.04x = 33,976.98 × 11,715
  4. Step 4: Simplify right side
    22,682.04x = 398,040,320.70
  5. Step 5: Solve for x
    x = 398,040,320.70/22,682.04
  6. Step 6: Final answer
    x = 17,548.70

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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.