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Finding the Fourth Proportional to 13,194.69, 18,208.73 and 8,478.98

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Solution

The fourth proportional to 13,194.69, 18,208.73 and 8,478.98 is: 11,701.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194.69 : 18,208.73 = 8,478.98 : x
  2. Step 2: Convert to fraction form
    13,194.69/18,208.73 = 8,478.98/x
  3. Step 3: Cross multiply
    13,194.69x = 18,208.73 × 8,478.98
  4. Step 4: Simplify right side
    13,194.69x = 154,391,324.06
  5. Step 5: Solve for x
    x = 154,391,324.06/13,194.69
  6. Step 6: Final answer
    x = 11,701.02

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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.