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Finding the Fourth Proportional to 24,662.95, 36,996.46 and 8,022.60

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Solution

The fourth proportional to 24,662.95, 36,996.46 and 8,022.60 is: 12,034.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,662.95 : 36,996.46 = 8,022.60 : x
  2. Step 2: Convert to fraction form
    24,662.95/36,996.46 = 8,022.60/x
  3. Step 3: Cross multiply
    24,662.95x = 36,996.46 × 8,022.60
  4. Step 4: Simplify right side
    24,662.95x = 296,807,779.94
  5. Step 5: Solve for x
    x = 296,807,779.94/24,662.95
  6. Step 6: Final answer
    x = 12,034.56

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Why These Related Problems?

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