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Finding the Fourth Proportional to 13,770.84, 20,656.32 and 5,450.52

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Solution

The fourth proportional to 13,770.84, 20,656.32 and 5,450.52 is: 8,175.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.84 : 20,656.32 = 5,450.52 : x
  2. Step 2: Convert to fraction form
    13,770.84/20,656.32 = 5,450.52/x
  3. Step 3: Cross multiply
    13,770.84x = 20,656.32 × 5,450.52
  4. Step 4: Simplify right side
    13,770.84x = 112,587,685.29
  5. Step 5: Solve for x
    x = 112,587,685.29/13,770.84
  6. Step 6: Final answer
    x = 8,175.80

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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.