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Finding the Fourth Proportional to 15,747.84, 23,626.08 and 6,382.08

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Solution

The fourth proportional to 15,747.84, 23,626.08 and 6,382.08 is: 9,574.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,747.84 : 23,626.08 = 6,382.08 : x
  2. Step 2: Convert to fraction form
    15,747.84/23,626.08 = 6,382.08/x
  3. Step 3: Cross multiply
    15,747.84x = 23,626.08 × 6,382.08
  4. Step 4: Simplify right side
    15,747.84x = 150,783,532.65
  5. Step 5: Solve for x
    x = 150,783,532.65/15,747.84
  6. Step 6: Final answer
    x = 9,574.87

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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.