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Finding the Fourth Proportional to 23,091.44, 31,876.84 and 13,530

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Solution

The fourth proportional to 23,091.44, 31,876.84 and 13,530 is: 18,677.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,091.44 : 31,876.84 = 13,530 : x
  2. Step 2: Convert to fraction form
    23,091.44/31,876.84 = 13,530/x
  3. Step 3: Cross multiply
    23,091.44x = 31,876.84 × 13,530
  4. Step 4: Simplify right side
    23,091.44x = 431,293,645.20
  5. Step 5: Solve for x
    x = 431,293,645.20/23,091.44
  6. Step 6: Final answer
    x = 18,677.64

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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.