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Finding the Fourth Proportional to 20,713.64, 28,584.78 and 11,282.18

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Solution

The fourth proportional to 20,713.64, 28,584.78 and 11,282.18 is: 15,569.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,713.64 : 28,584.78 = 11,282.18 : x
  2. Step 2: Convert to fraction form
    20,713.64/28,584.78 = 11,282.18/x
  3. Step 3: Cross multiply
    20,713.64x = 28,584.78 × 11,282.18
  4. Step 4: Simplify right side
    20,713.64x = 322,498,633.22
  5. Step 5: Solve for x
    x = 322,498,633.22/20,713.64
  6. Step 6: Final answer
    x = 15,569.38

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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.