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Finding the Fourth Proportional to 13,074.80, 19,600.32 and 5,278.28

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Solution

The fourth proportional to 13,074.80, 19,600.32 and 5,278.28 is: 7,912.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,074.80 : 19,600.32 = 5,278.28 : x
  2. Step 2: Convert to fraction form
    13,074.80/19,600.32 = 5,278.28/x
  3. Step 3: Cross multiply
    13,074.80x = 19,600.32 × 5,278.28
  4. Step 4: Simplify right side
    13,074.80x = 103,455,977.05
  5. Step 5: Solve for x
    x = 103,455,977.05/13,074.80
  6. Step 6: Final answer
    x = 7,912.62

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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.