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Finding the Fourth Proportional to 17,684.64, 26,530.24 and 5,839.24

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Solution

The fourth proportional to 17,684.64, 26,530.24 and 5,839.24 is: 8,759.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,684.64 : 26,530.24 = 5,839.24 : x
  2. Step 2: Convert to fraction form
    17,684.64/26,530.24 = 5,839.24/x
  3. Step 3: Cross multiply
    17,684.64x = 26,530.24 × 5,839.24
  4. Step 4: Simplify right side
    17,684.64x = 154,916,438.62
  5. Step 5: Solve for x
    x = 154,916,438.62/17,684.64
  6. Step 6: Final answer
    x = 8,759.94

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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.