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Finding the Fourth Proportional to 13,609.08, 20,396.34 and 7,457.40

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Solution

The fourth proportional to 13,609.08, 20,396.34 and 7,457.40 is: 11,176.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,609.08 : 20,396.34 = 7,457.40 : x
  2. Step 2: Convert to fraction form
    13,609.08/20,396.34 = 7,457.40/x
  3. Step 3: Cross multiply
    13,609.08x = 20,396.34 × 7,457.40
  4. Step 4: Simplify right side
    13,609.08x = 152,103,665.92
  5. Step 5: Solve for x
    x = 152,103,665.92/13,609.08
  6. Step 6: Final answer
    x = 11,176.63

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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.