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Finding the Fourth Proportional to 13,176.66, 19,735.30 and 9,245.44

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Solution

The fourth proportional to 13,176.66, 19,735.30 and 9,245.44 is: 13,847.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,176.66 : 19,735.30 = 9,245.44 : x
  2. Step 2: Convert to fraction form
    13,176.66/19,735.30 = 9,245.44/x
  3. Step 3: Cross multiply
    13,176.66x = 19,735.30 × 9,245.44
  4. Step 4: Simplify right side
    13,176.66x = 182,461,532.03
  5. Step 5: Solve for x
    x = 182,461,532.03/13,176.66
  6. Step 6: Final answer
    x = 13,847.33

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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.