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Finding the Fourth Proportional to 20,544.57, 30,792.15 and 10,678.23

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Solution

The fourth proportional to 20,544.57, 30,792.15 and 10,678.23 is: 16,004.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,544.57 : 30,792.15 = 10,678.23 : x
  2. Step 2: Convert to fraction form
    20,544.57/30,792.15 = 10,678.23/x
  3. Step 3: Cross multiply
    20,544.57x = 30,792.15 × 10,678.23
  4. Step 4: Simplify right side
    20,544.57x = 328,805,659.89
  5. Step 5: Solve for x
    x = 328,805,659.89/20,544.57
  6. Step 6: Final answer
    x = 16,004.50

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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.