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Finding the Fourth Proportional to 24,609.80, 36,908.70 and 7,077.80

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Solution

The fourth proportional to 24,609.80, 36,908.70 and 7,077.80 is: 10,614.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,609.80 : 36,908.70 = 7,077.80 : x
  2. Step 2: Convert to fraction form
    24,609.80/36,908.70 = 7,077.80/x
  3. Step 3: Cross multiply
    24,609.80x = 36,908.70 × 7,077.80
  4. Step 4: Simplify right side
    24,609.80x = 261,232,396.86
  5. Step 5: Solve for x
    x = 261,232,396.86/24,609.80
  6. Step 6: Final answer
    x = 10,614.97

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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.