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Finding the Fourth Proportional to 13,618.23, 20,416.96 and 7,040.22

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Solution

The fourth proportional to 13,618.23, 20,416.96 and 7,040.22 is: 10,554.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,618.23 : 20,416.96 = 7,040.22 : x
  2. Step 2: Convert to fraction form
    13,618.23/20,416.96 = 7,040.22/x
  3. Step 3: Cross multiply
    13,618.23x = 20,416.96 × 7,040.22
  4. Step 4: Simplify right side
    13,618.23x = 143,739,890.13
  5. Step 5: Solve for x
    x = 143,739,890.13/13,618.23
  6. Step 6: Final answer
    x = 10,554.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.