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Finding the Fourth Proportional to 24,383.52, 36,580.44 and 7,741.32

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Solution

The fourth proportional to 24,383.52, 36,580.44 and 7,741.32 is: 11,613.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,383.52 : 36,580.44 = 7,741.32 : x
  2. Step 2: Convert to fraction form
    24,383.52/36,580.44 = 7,741.32/x
  3. Step 3: Cross multiply
    24,383.52x = 36,580.44 × 7,741.32
  4. Step 4: Simplify right side
    24,383.52x = 283,180,891.78
  5. Step 5: Solve for x
    x = 283,180,891.78/24,383.52
  6. Step 6: Final answer
    x = 11,613.62

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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.