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Finding the Fourth Proportional to 13,054.73, 19,589.27 and 5,659.25

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Solution

The fourth proportional to 13,054.73, 19,589.27 and 5,659.25 is: 8,491.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,054.73 : 19,589.27 = 5,659.25 : x
  2. Step 2: Convert to fraction form
    13,054.73/19,589.27 = 5,659.25/x
  3. Step 3: Cross multiply
    13,054.73x = 19,589.27 × 5,659.25
  4. Step 4: Simplify right side
    13,054.73x = 110,860,450.00
  5. Step 5: Solve for x
    x = 110,860,450.00/13,054.73
  6. Step 6: Final answer
    x = 8,491.98

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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.