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Finding the Fourth Proportional to 20,284.92, 27,993.42 and 11,332.80

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Solution

The fourth proportional to 20,284.92, 27,993.42 and 11,332.80 is: 15,639.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,284.92 : 27,993.42 = 11,332.80 : x
  2. Step 2: Convert to fraction form
    20,284.92/27,993.42 = 11,332.80/x
  3. Step 3: Cross multiply
    20,284.92x = 27,993.42 × 11,332.80
  4. Step 4: Simplify right side
    20,284.92x = 317,243,830.18
  5. Step 5: Solve for x
    x = 317,243,830.18/20,284.92
  6. Step 6: Final answer
    x = 15,639.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.