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Finding the Fourth Proportional to 20,852.64, 28,781.64 and 12,900.96

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Solution

The fourth proportional to 20,852.64, 28,781.64 and 12,900.96 is: 17,806.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,852.64 : 28,781.64 = 12,900.96 : x
  2. Step 2: Convert to fraction form
    20,852.64/28,781.64 = 12,900.96/x
  3. Step 3: Cross multiply
    20,852.64x = 28,781.64 × 12,900.96
  4. Step 4: Simplify right side
    20,852.64x = 371,310,786.37
  5. Step 5: Solve for x
    x = 371,310,786.37/20,852.64
  6. Step 6: Final answer
    x = 17,806.42

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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.