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Finding the Fourth Proportional to 13,719.23, 18,932.49 and 7,431.62

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Solution

The fourth proportional to 13,719.23, 18,932.49 and 7,431.62 is: 10,255.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,719.23 : 18,932.49 = 7,431.62 : x
  2. Step 2: Convert to fraction form
    13,719.23/18,932.49 = 7,431.62/x
  3. Step 3: Cross multiply
    13,719.23x = 18,932.49 × 7,431.62
  4. Step 4: Simplify right side
    13,719.23x = 140,699,071.33
  5. Step 5: Solve for x
    x = 140,699,071.33/13,719.23
  6. Step 6: Final answer
    x = 10,255.61

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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.