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Finding the Fourth Proportional to 23,682.33, 35,499.74 and 8,089.29

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Solution

The fourth proportional to 23,682.33, 35,499.74 and 8,089.29 is: 12,125.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,682.33 : 35,499.74 = 8,089.29 : x
  2. Step 2: Convert to fraction form
    23,682.33/35,499.74 = 8,089.29/x
  3. Step 3: Cross multiply
    23,682.33x = 35,499.74 × 8,089.29
  4. Step 4: Simplify right side
    23,682.33x = 287,167,651.34
  5. Step 5: Solve for x
    x = 287,167,651.34/23,682.33
  6. Step 6: Final answer
    x = 12,125.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.