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Finding the Fourth Proportional to 20,852.64, 28,786.32 and 13,387.68

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Solution

The fourth proportional to 20,852.64, 28,786.32 and 13,387.68 is: 18,481.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,852.64 : 28,786.32 = 13,387.68 : x
  2. Step 2: Convert to fraction form
    20,852.64/28,786.32 = 13,387.68/x
  3. Step 3: Cross multiply
    20,852.64x = 28,786.32 × 13,387.68
  4. Step 4: Simplify right side
    20,852.64x = 385,382,040.54
  5. Step 5: Solve for x
    x = 385,382,040.54/20,852.64
  6. Step 6: Final answer
    x = 18,481.21

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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.