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Finding the Fourth Proportional to 24,157, 36,235.50 and 7,741

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Solution

The fourth proportional to 24,157, 36,235.50 and 7,741 is: 11,611.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,157 : 36,235.50 = 7,741 : x
  2. Step 2: Convert to fraction form
    24,157/36,235.50 = 7,741/x
  3. Step 3: Cross multiply
    24,157x = 36,235.50 × 7,741
  4. Step 4: Simplify right side
    24,157x = 280,499,005.50
  5. Step 5: Solve for x
    x = 280,499,005.50/24,157
  6. Step 6: Final answer
    x = 11,611.50

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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.