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Finding the Fourth Proportional to 13,254.96, 19,870.56 and 5,458.80

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Solution

The fourth proportional to 13,254.96, 19,870.56 and 5,458.80 is: 8,183.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,254.96 : 19,870.56 = 5,458.80 : x
  2. Step 2: Convert to fraction form
    13,254.96/19,870.56 = 5,458.80/x
  3. Step 3: Cross multiply
    13,254.96x = 19,870.56 × 5,458.80
  4. Step 4: Simplify right side
    13,254.96x = 108,469,412.93
  5. Step 5: Solve for x
    x = 108,469,412.93/13,254.96
  6. Step 6: Final answer
    x = 8,183.31

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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.