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Finding the Fourth Proportional to 14,456.40, 21,675.80 and 5,680.80

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Solution

The fourth proportional to 14,456.40, 21,675.80 and 5,680.80 is: 8,517.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,456.40 : 21,675.80 = 5,680.80 : x
  2. Step 2: Convert to fraction form
    14,456.40/21,675.80 = 5,680.80/x
  3. Step 3: Cross multiply
    14,456.40x = 21,675.80 × 5,680.80
  4. Step 4: Simplify right side
    14,456.40x = 123,135,884.64
  5. Step 5: Solve for x
    x = 123,135,884.64/14,456.40
  6. Step 6: Final answer
    x = 8,517.74

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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.