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Finding the Fourth Proportional to 23,182.66, 31,996.65 and 13,111.12

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Solution

The fourth proportional to 23,182.66, 31,996.65 and 13,111.12 is: 18,095.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,182.66 : 31,996.65 = 13,111.12 : x
  2. Step 2: Convert to fraction form
    23,182.66/31,996.65 = 13,111.12/x
  3. Step 3: Cross multiply
    23,182.66x = 31,996.65 × 13,111.12
  4. Step 4: Simplify right side
    23,182.66x = 419,511,917.75
  5. Step 5: Solve for x
    x = 419,511,917.75/23,182.66
  6. Step 6: Final answer
    x = 18,095.94

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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.