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Finding the Fourth Proportional to 24,380.63, 36,576.42 and 7,741.20

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Solution

The fourth proportional to 24,380.63, 36,576.42 and 7,741.20 is: 11,613.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,380.63 : 36,576.42 = 7,741.20 : x
  2. Step 2: Convert to fraction form
    24,380.63/36,576.42 = 7,741.20/x
  3. Step 3: Cross multiply
    24,380.63x = 36,576.42 × 7,741.20
  4. Step 4: Simplify right side
    24,380.63x = 283,145,382.50
  5. Step 5: Solve for x
    x = 283,145,382.50/24,380.63
  6. Step 6: Final answer
    x = 11,613.54

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1.5x scale

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.