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Finding the Fourth Proportional to 24,283.89, 36,420.92 and 8,489.60

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Solution

The fourth proportional to 24,283.89, 36,420.92 and 8,489.60 is: 12,732.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,283.89 : 36,420.92 = 8,489.60 : x
  2. Step 2: Convert to fraction form
    24,283.89/36,420.92 = 8,489.60/x
  3. Step 3: Cross multiply
    24,283.89x = 36,420.92 × 8,489.60
  4. Step 4: Simplify right side
    24,283.89x = 309,199,042.43
  5. Step 5: Solve for x
    x = 309,199,042.43/24,283.89
  6. Step 6: Final answer
    x = 12,732.68

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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.