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Finding the Fourth Proportional to 18,480, 27,704.96 and 10,680

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Solution

The fourth proportional to 18,480, 27,704.96 and 10,680 is: 16,011.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,480 : 27,704.96 = 10,680 : x
  2. Step 2: Convert to fraction form
    18,480/27,704.96 = 10,680/x
  3. Step 3: Cross multiply
    18,480x = 27,704.96 × 10,680
  4. Step 4: Simplify right side
    18,480x = 295,888,972.80
  5. Step 5: Solve for x
    x = 295,888,972.80/18,480
  6. Step 6: Final answer
    x = 16,011.31

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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.