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Finding the Fourth Proportional to 13,770.92, 20,656.20 and 3,382.76

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Solution

The fourth proportional to 13,770.92, 20,656.20 and 3,382.76 is: 5,074.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.92 : 20,656.20 = 3,382.76 : x
  2. Step 2: Convert to fraction form
    13,770.92/20,656.20 = 3,382.76/x
  3. Step 3: Cross multiply
    13,770.92x = 20,656.20 × 3,382.76
  4. Step 4: Simplify right side
    13,770.92x = 69,874,967.11
  5. Step 5: Solve for x
    x = 69,874,967.11/13,770.92
  6. Step 6: Final answer
    x = 5,074.10

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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.