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Finding the Fourth Proportional to 20,463.52, 30,626.16 and 12,678.88

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Solution

The fourth proportional to 20,463.52, 30,626.16 and 12,678.88 is: 18,975.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,463.52 : 30,626.16 = 12,678.88 : x
  2. Step 2: Convert to fraction form
    20,463.52/30,626.16 = 12,678.88/x
  3. Step 3: Cross multiply
    20,463.52x = 30,626.16 × 12,678.88
  4. Step 4: Simplify right side
    20,463.52x = 388,305,407.50
  5. Step 5: Solve for x
    x = 388,305,407.50/20,463.52
  6. Step 6: Final answer
    x = 18,975.49

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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.