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Finding the Fourth Proportional to 20,419.71, 28,166.97 and 12,852.92

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Solution

The fourth proportional to 20,419.71, 28,166.97 and 12,852.92 is: 17,729.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,419.71 : 28,166.97 = 12,852.92 : x
  2. Step 2: Convert to fraction form
    20,419.71/28,166.97 = 12,852.92/x
  3. Step 3: Cross multiply
    20,419.71x = 28,166.97 × 12,852.92
  4. Step 4: Simplify right side
    20,419.71x = 362,027,671.22
  5. Step 5: Solve for x
    x = 362,027,671.22/20,419.71
  6. Step 6: Final answer
    x = 17,729.32

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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.