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Finding the Fourth Proportional to 24,380.28, 36,570.15 and 7,739.87

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Solution

The fourth proportional to 24,380.28, 36,570.15 and 7,739.87 is: 11,609.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,380.28 : 36,570.15 = 7,739.87 : x
  2. Step 2: Convert to fraction form
    24,380.28/36,570.15 = 7,739.87/x
  3. Step 3: Cross multiply
    24,380.28x = 36,570.15 × 7,739.87
  4. Step 4: Simplify right side
    24,380.28x = 283,048,024.03
  5. Step 5: Solve for x
    x = 283,048,024.03/24,380.28
  6. Step 6: Final answer
    x = 11,609.71

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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.