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Finding the Fourth Proportional to 13,162.72, 18,165.42 and 7,421.60

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Solution

The fourth proportional to 13,162.72, 18,165.42 and 7,421.60 is: 10,242.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,162.72 : 18,165.42 = 7,421.60 : x
  2. Step 2: Convert to fraction form
    13,162.72/18,165.42 = 7,421.60/x
  3. Step 3: Cross multiply
    13,162.72x = 18,165.42 × 7,421.60
  4. Step 4: Simplify right side
    13,162.72x = 134,816,481.07
  5. Step 5: Solve for x
    x = 134,816,481.07/13,162.72
  6. Step 6: Final answer
    x = 10,242.30

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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.