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Finding the Fourth Proportional to 24,650.30, 36,960.64 and 9,639.54

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Solution

The fourth proportional to 24,650.30, 36,960.64 and 9,639.54 is: 14,453.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,650.30 : 36,960.64 = 9,639.54 : x
  2. Step 2: Convert to fraction form
    24,650.30/36,960.64 = 9,639.54/x
  3. Step 3: Cross multiply
    24,650.30x = 36,960.64 × 9,639.54
  4. Step 4: Simplify right side
    24,650.30x = 356,283,597.83
  5. Step 5: Solve for x
    x = 356,283,597.83/24,650.30
  6. Step 6: Final answer
    x = 14,453.52

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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.