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Finding the Fourth Proportional to 20,786.16, 28,684.92 and 11,354.88

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Solution

The fourth proportional to 20,786.16, 28,684.92 and 11,354.88 is: 15,669.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,786.16 : 28,684.92 = 11,354.88 : x
  2. Step 2: Convert to fraction form
    20,786.16/28,684.92 = 11,354.88/x
  3. Step 3: Cross multiply
    20,786.16x = 28,684.92 × 11,354.88
  4. Step 4: Simplify right side
    20,786.16x = 325,713,824.41
  5. Step 5: Solve for x
    x = 325,713,824.41/20,786.16
  6. Step 6: Final answer
    x = 15,669.74

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