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Finding the Fourth Proportional to 23,181.59, 31,991.94 and 13,110.99

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Solution

The fourth proportional to 23,181.59, 31,991.94 and 13,110.99 is: 18,093.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,181.59 : 31,991.94 = 13,110.99 : x
  2. Step 2: Convert to fraction form
    23,181.59/31,991.94 = 13,110.99/x
  3. Step 3: Cross multiply
    23,181.59x = 31,991.94 × 13,110.99
  4. Step 4: Simplify right side
    23,181.59x = 419,445,938.55
  5. Step 5: Solve for x
    x = 419,445,938.55/23,181.59
  6. Step 6: Final answer
    x = 18,093.92

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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.