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Finding the Fourth Proportional to 24,678.80, 37,023.60 and 12,204.80

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Solution

The fourth proportional to 24,678.80, 37,023.60 and 12,204.80 is: 18,309.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,678.80 : 37,023.60 = 12,204.80 : x
  2. Step 2: Convert to fraction form
    24,678.80/37,023.60 = 12,204.80/x
  3. Step 3: Cross multiply
    24,678.80x = 37,023.60 × 12,204.80
  4. Step 4: Simplify right side
    24,678.80x = 451,865,633.28
  5. Step 5: Solve for x
    x = 451,865,633.28/24,678.80
  6. Step 6: Final answer
    x = 18,309.87

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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.