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Finding the Fourth Proportional to 20,809.92, 28,718.38 and 11,857.80

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Solution

The fourth proportional to 20,809.92, 28,718.38 and 11,857.80 is: 16,364.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,809.92 : 28,718.38 = 11,857.80 : x
  2. Step 2: Convert to fraction form
    20,809.92/28,718.38 = 11,857.80/x
  3. Step 3: Cross multiply
    20,809.92x = 28,718.38 × 11,857.80
  4. Step 4: Simplify right side
    20,809.92x = 340,536,806.36
  5. Step 5: Solve for x
    x = 340,536,806.36/20,809.92
  6. Step 6: Final answer
    x = 16,364.16

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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.