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Finding the Fourth Proportional to 13,600.98, 18,769.52 and 8,296.29

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Solution

The fourth proportional to 13,600.98, 18,769.52 and 8,296.29 is: 11,448.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,600.98 : 18,769.52 = 8,296.29 : x
  2. Step 2: Convert to fraction form
    13,600.98/18,769.52 = 8,296.29/x
  3. Step 3: Cross multiply
    13,600.98x = 18,769.52 × 8,296.29
  4. Step 4: Simplify right side
    13,600.98x = 155,717,401.82
  5. Step 5: Solve for x
    x = 155,717,401.82/13,600.98
  6. Step 6: Final answer
    x = 11,448.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.