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Finding the Fourth Proportional to 13,186.92, 18,195.66 and 7,596.84

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Solution

The fourth proportional to 13,186.92, 18,195.66 and 7,596.84 is: 10,482.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,186.92 : 18,195.66 = 7,596.84 : x
  2. Step 2: Convert to fraction form
    13,186.92/18,195.66 = 7,596.84/x
  3. Step 3: Cross multiply
    13,186.92x = 18,195.66 × 7,596.84
  4. Step 4: Simplify right side
    13,186.92x = 138,229,517.71
  5. Step 5: Solve for x
    x = 138,229,517.71/13,186.92
  6. Step 6: Final answer
    x = 10,482.32

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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.