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Finding the Fourth Proportional to 11,645.24, 17,457.54 and 8,350.04

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Solution

The fourth proportional to 11,645.24, 17,457.54 and 8,350.04 is: 12,517.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.24 : 17,457.54 = 8,350.04 : x
  2. Step 2: Convert to fraction form
    11,645.24/17,457.54 = 8,350.04/x
  3. Step 3: Cross multiply
    11,645.24x = 17,457.54 × 8,350.04
  4. Step 4: Simplify right side
    11,645.24x = 145,771,157.30
  5. Step 5: Solve for x
    x = 145,771,157.30/11,645.24
  6. Step 6: Final answer
    x = 12,517.66

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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.