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Finding the Fourth Proportional to 13,164.98, 19,745.34 and 4,842.94

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Solution

The fourth proportional to 13,164.98, 19,745.34 and 4,842.94 is: 7,263.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,164.98 : 19,745.34 = 4,842.94 : x
  2. Step 2: Convert to fraction form
    13,164.98/19,745.34 = 4,842.94/x
  3. Step 3: Cross multiply
    13,164.98x = 19,745.34 × 4,842.94
  4. Step 4: Simplify right side
    13,164.98x = 95,625,496.90
  5. Step 5: Solve for x
    x = 95,625,496.90/13,164.98
  6. Step 6: Final answer
    x = 7,263.63

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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.