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Finding the Fourth Proportional to 17,674.53, 26,515.69 and 5,827.83

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Solution

The fourth proportional to 17,674.53, 26,515.69 and 5,827.83 is: 8,743.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,674.53 : 26,515.69 = 5,827.83 : x
  2. Step 2: Convert to fraction form
    17,674.53/26,515.69 = 5,827.83/x
  3. Step 3: Cross multiply
    17,674.53x = 26,515.69 × 5,827.83
  4. Step 4: Simplify right side
    17,674.53x = 154,528,933.65
  5. Step 5: Solve for x
    x = 154,528,933.65/17,674.53
  6. Step 6: Final answer
    x = 8,743.03

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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.