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Finding the Fourth Proportional to 24,383.30, 36,571.20 and 7,741.16

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Solution

The fourth proportional to 24,383.30, 36,571.20 and 7,741.16 is: 11,610.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,383.30 : 36,571.20 = 7,741.16 : x
  2. Step 2: Convert to fraction form
    24,383.30/36,571.20 = 7,741.16/x
  3. Step 3: Cross multiply
    24,383.30x = 36,571.20 × 7,741.16
  4. Step 4: Simplify right side
    24,383.30x = 283,103,510.59
  5. Step 5: Solve for x
    x = 283,103,510.59/24,383.30
  6. Step 6: Final answer
    x = 11,610.55

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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.