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Finding the Fourth Proportional to 13,218.11, 18,234.08 and 7,837.42

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Solution

The fourth proportional to 13,218.11, 18,234.08 and 7,837.42 is: 10,811.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,218.11 : 18,234.08 = 7,837.42 : x
  2. Step 2: Convert to fraction form
    13,218.11/18,234.08 = 7,837.42/x
  3. Step 3: Cross multiply
    13,218.11x = 18,234.08 × 7,837.42
  4. Step 4: Simplify right side
    13,218.11x = 142,908,071.70
  5. Step 5: Solve for x
    x = 142,908,071.70/13,218.11
  6. Step 6: Final answer
    x = 10,811.54

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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.