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Finding the Fourth Proportional to 13,770.72, 20,648.46 and 4,280.45

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Solution

The fourth proportional to 13,770.72, 20,648.46 and 4,280.45 is: 6,418.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.72 : 20,648.46 = 4,280.45 : x
  2. Step 2: Convert to fraction form
    13,770.72/20,648.46 = 4,280.45/x
  3. Step 3: Cross multiply
    13,770.72x = 20,648.46 × 4,280.45
  4. Step 4: Simplify right side
    13,770.72x = 88,384,597.36
  5. Step 5: Solve for x
    x = 88,384,597.36/13,770.72
  6. Step 6: Final answer
    x = 6,418.30

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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.