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Finding the Fourth Proportional to 20,806.64, 28,713.38 and 11,854.12

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Solution

The fourth proportional to 20,806.64, 28,713.38 and 11,854.12 is: 16,358.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,806.64 : 28,713.38 = 11,854.12 : x
  2. Step 2: Convert to fraction form
    20,806.64/28,713.38 = 11,854.12/x
  3. Step 3: Cross multiply
    20,806.64x = 28,713.38 × 11,854.12
  4. Step 4: Simplify right side
    20,806.64x = 340,371,852.13
  5. Step 5: Solve for x
    x = 340,371,852.13/20,806.64
  6. Step 6: Final answer
    x = 16,358.81

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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.