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Finding the Fourth Proportional to 17,776.49, 24,517.55 and 16,584.17

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Solution

The fourth proportional to 17,776.49, 24,517.55 and 16,584.17 is: 22,873.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,776.49 : 24,517.55 = 16,584.17 : x
  2. Step 2: Convert to fraction form
    17,776.49/24,517.55 = 16,584.17/x
  3. Step 3: Cross multiply
    17,776.49x = 24,517.55 × 16,584.17
  4. Step 4: Simplify right side
    17,776.49x = 406,603,136.06
  5. Step 5: Solve for x
    x = 406,603,136.06/17,776.49
  6. Step 6: Final answer
    x = 22,873.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.