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Finding the Fourth Proportional to 24,383.79, 36,571.95 and 7,741.67

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Solution

The fourth proportional to 24,383.79, 36,571.95 and 7,741.67 is: 11,611.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,383.79 : 36,571.95 = 7,741.67 : x
  2. Step 2: Convert to fraction form
    24,383.79/36,571.95 = 7,741.67/x
  3. Step 3: Cross multiply
    24,383.79x = 36,571.95 × 7,741.67
  4. Step 4: Simplify right side
    24,383.79x = 283,127,785.30
  5. Step 5: Solve for x
    x = 283,127,785.30/24,383.79
  6. Step 6: Final answer
    x = 11,611.31

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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.