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Finding the Fourth Proportional to 13,194.63, 18,208.78 and 7,226.85

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Solution

The fourth proportional to 13,194.63, 18,208.78 and 7,226.85 is: 9,973.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194.63 : 18,208.78 = 7,226.85 : x
  2. Step 2: Convert to fraction form
    13,194.63/18,208.78 = 7,226.85/x
  3. Step 3: Cross multiply
    13,194.63x = 18,208.78 × 7,226.85
  4. Step 4: Simplify right side
    13,194.63x = 131,592,121.74
  5. Step 5: Solve for x
    x = 131,592,121.74/13,194.63
  6. Step 6: Final answer
    x = 9,973.16

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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.