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Finding the Fourth Proportional to 20,548.68, 30,776.30 and 16,078.49

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Solution

The fourth proportional to 20,548.68, 30,776.30 and 16,078.49 is: 24,081.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,548.68 : 30,776.30 = 16,078.49 : x
  2. Step 2: Convert to fraction form
    20,548.68/30,776.30 = 16,078.49/x
  3. Step 3: Cross multiply
    20,548.68x = 30,776.30 × 16,078.49
  4. Step 4: Simplify right side
    20,548.68x = 494,836,431.79
  5. Step 5: Solve for x
    x = 494,836,431.79/20,548.68
  6. Step 6: Final answer
    x = 24,081.18

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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.