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Finding the Fourth Proportional to 23,181.27, 31,989.65 and 13,110.14

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Solution

The fourth proportional to 23,181.27, 31,989.65 and 13,110.14 is: 18,091.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,181.27 : 31,989.65 = 13,110.14 : x
  2. Step 2: Convert to fraction form
    23,181.27/31,989.65 = 13,110.14/x
  3. Step 3: Cross multiply
    23,181.27x = 31,989.65 × 13,110.14
  4. Step 4: Simplify right side
    23,181.27x = 419,388,564.55
  5. Step 5: Solve for x
    x = 419,388,564.55/23,181.27
  6. Step 6: Final answer
    x = 18,091.70

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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.