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Finding the Fourth Proportional to 18,480.84, 27,769.86 and 9,722.04

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Solution

The fourth proportional to 18,480.84, 27,769.86 and 9,722.04 is: 14,608.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,480.84 : 27,769.86 = 9,722.04 : x
  2. Step 2: Convert to fraction form
    18,480.84/27,769.86 = 9,722.04/x
  3. Step 3: Cross multiply
    18,480.84x = 27,769.86 × 9,722.04
  4. Step 4: Simplify right side
    18,480.84x = 269,979,689.71
  5. Step 5: Solve for x
    x = 269,979,689.71/18,480.84
  6. Step 6: Final answer
    x = 14,608.63

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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.