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Finding the Fourth Proportional to 17,684.66, 26,527.01 and 5,839.09

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Solution

The fourth proportional to 17,684.66, 26,527.01 and 5,839.09 is: 8,758.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,684.66 : 26,527.01 = 5,839.09 : x
  2. Step 2: Convert to fraction form
    17,684.66/26,527.01 = 5,839.09/x
  3. Step 3: Cross multiply
    17,684.66x = 26,527.01 × 5,839.09
  4. Step 4: Simplify right side
    17,684.66x = 154,893,607.79
  5. Step 5: Solve for x
    x = 154,893,607.79/17,684.66
  6. Step 6: Final answer
    x = 8,758.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.