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Finding the Fourth Proportional to 20,517.95, 30,780.22 and 8,671.84

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Solution

The fourth proportional to 20,517.95, 30,780.22 and 8,671.84 is: 13,009.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,517.95 : 30,780.22 = 8,671.84 : x
  2. Step 2: Convert to fraction form
    20,517.95/30,780.22 = 8,671.84/x
  3. Step 3: Cross multiply
    20,517.95x = 30,780.22 × 8,671.84
  4. Step 4: Simplify right side
    20,517.95x = 266,921,241.63
  5. Step 5: Solve for x
    x = 266,921,241.63/20,517.95
  6. Step 6: Final answer
    x = 13,009.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.